Lesson 4.7 & 4.8 Partner Content Check

The following information is to familiarize you with a standard deck of cards:

The cards that are part of a standard deck of 52 cards are pictured above. (no jokers included in most games)
Note:  52 cards in the deck
            2 colors: black and red
            26 cards of each color (26 black & 26 red)
            4 suits: hearts, diamonds, spades, clubs (clovers)
            2 red suits: hearts & diamonds
            2 black suits: spades & clubs
            13 cards in each suit: Ace through K (sometimes ace is highest and sometimes it is lowest card in the suit)
            3 face cards of each suit (Jack, Queen, King)
            
Use a TI-Nspire OR open the following website for a permutation/combination calculator, keep the tab open for use during the content check.
https://www.calculator.net/permutation-and-combination-calculator.html

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2

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2

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
We will calculate the total number of hands possible.
Is this a combination or permutation? Why?

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1

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).

What set up will you put into the calculator to find the total number of hands possible?

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4

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).

How many different hands are possible?
Use commas in your answer.

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4

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
Refer to the picture and information at the beginning of the quiz, how many cards are hearts?

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4

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
We want to know how many hands contain only hearts.

First: What is the setup you will put in your calculator to determine how many hands can be made from only hearts?
Enter # Capital letter #

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4

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards). How many hands contain only hearts?

Now do the calculation. Use the TI-Nspire: menu, 5, then 2 or 3 depending on if it is a permutation or combination.
How many hands contain only hearts?
Use commas in your answer.

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4

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
What's the probability you will be dealt a hand that is all hearts?
Remember:

Give your answer as a decimal (rounded to 4 places this time)
or
as a percent (rounded to two places past the decimal point this time ).

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4

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
How many different hands will give you a flush (cards that are all the same suit).

Hint: this means 'all hearts OR all spades OR all clubs OR all diamonds' is what we want.
*remember what 'or' tells you to do in Statistics.
Use the answers from previous questions to help you find your answer.

Write your answer with commas.

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4

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
What is the probability that you will get a fush?

Use the answers from previous questions to help you find your answer.
Hint:

Write your answer as a decimal (rounded to 3 places) or as a percent (rounded to one place past the decimal).

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2

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).
Is this a combination or permutation? Why?

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2

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).

What set up will you put into the calculator to find the total number of hands possible?

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4

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).

How many different hands are possible?
Include commas in your answer.

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4

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).
How many cards in the deck are NOT hearts?

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4

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).
How many of those hands DO NOT contain any hearts? (contain no hearts)
Hint: use the information from the previous question and calculate a permutation or combination.

Enter your answer with commas.

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4

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).

What is the probability that your hand will contain no hearts?

Use P(no hearts) = # hands with no hearts
Total # hands possible

Enter your answer as a decimal (rounded to three places) or as a percent (rounded to one place past the decimal).

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4

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).

What is the probability that your hand will contain AT LEAST ONE heart?
Hint: Check notes 4.6 for the calculation of at least one.

Enter your answer as a decimal (rounded to three places) or as a percent (rounded to one place past the decimal).

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4

Your American Literature class will read 4 novels this year, chosen by a class vote from a list of 12 possible books offered by the teacher.

How many different choices of books could the class read? Hint: first you need to decide is this a permutation or combination?
Then calculate using a TI-Nspire: menu, 5, then 2 or 3 depending on if it is a permutation or combination.
Use commas in your answer if needed

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4

Your American Literature class will read 4 novels this year, chosen by a class vote from a list of 12 possible books offered by the teacher.
Students will vote on the novels they prefer.
The top four novels will be read from the most popular to the least popular.

How many different ways could the course unfold? How many ways could the books be read? Hint: You need to decide, is this a permutation or combination, then calculate.
Use commas in your answer if needed.

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4

A swim coach has 7 swimmers that he is teaching to be part of a 4-person relay team.

How many different groups of 4 swimmer groups can the coach make if he lines them up randomly?
Hint: You need to decide if this is a permutation or a combination, then calculate.

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4

A swim coach is considering 7 swimmers as possible members of a 4-person relay team.

The coach will use strategy to put together the relay team, for example usually the fastest swimmers are the lead and the anchor swimmers.
How many different relays can he put together?
Hint: you need to decide if this is a permutation or a combination, then calculate.

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4

George has gone shopping at HEB with his little sister, Anna, to pick out some Blue Bell ice cream for their Easter dinner. There are 16 different flavors they can pick from. If George lets Anna choose 3 different flavors, how many groups of 3 flavors can she pick?

Hint: you need to decide if this is a permutation or a combination.
Enter your answer below.

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4

George is taking his little sister, Anna, to Coldstone Creamery to get some gourmet ice cream. Today Coldstone has 21 flavors. Anna wants to get a triple cone and is specific about what flavor is on top, the middle and the bottom.
How many different cones can Anna get if she likes all 21 flavors?
Hint: you need to decide, is this a permutation or a combination, then calculate.
Enter your answer below.

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2

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.
Would this be a combination or permutation? Why?

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4

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.
What set up will you put into the calculator to find the total number of groups possible if you are only going to scratch off 3 of the 12 spaces?

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4

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.

How many groups are possible for scratching off three of the 12 spaces on the lottery ticket?

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4

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.
The person who bought the ticket scratches off three spaces, winning an instant $10 if all three are winners.

How many different groups are possible for scratching off three of the four ‘Win!’ spaces?

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4

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’. The person who bought the ticket scratches off three spaces, winning an instant $10 if all three are winners.

Use the information in the previous two questions to calculate the probability of winning $10 in the game.
Enter your answer as a decimal (rounded to three places) or as a percent (rounded to one place past the decimal).

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4

There are 6 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can you order one burger or one order of fries or one milkshake?

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4

There are 6 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can you order one burger, 1 order of fries and one milkshake?

Lesson 4.7 & 4.8 Partner Content Check

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards). We will calculate the total number of hands possible.Is this a combination or permutation? Why?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards). What set up will you put into the calculator to find the total number of hands possible?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards). How many different hands are possible? Use commas in your answer.

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards). Refer to the picture and information at the beginning of the quiz, how many cards are hearts?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).Is this a combination or permutation? Why?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards). What set up will you put into the calculator to find the total number of hands possible?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards). How many different hands are possible?Include commas in your answer.

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards). How many cards in the deck are NOT hearts?

A swim coach has 7 swimmers that he is teaching to be part of a 4-person relay team.How many different groups of 4 swimmer groups can the coach make if he lines them up randomly?Hint: You need to decide if this is a permutation or a combination, then calculate.

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.Would this be a combination or permutation? Why?

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.What set up will you put into the calculator to find the total number of groups possible if you are only going to scratch off 3 of the 12 spaces?

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’. How many groups are possible for scratching off three of the 12 spaces on the lottery ticket?

There are 6 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can you order one burger or one order of fries or one milkshake?

There are 6 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can you order one burger, 1 order of fries and one milkshake?

You draw a card from a well shuffled deck of cards and record the suit.1. select the sample space2. do you think the events in the sample space are equally likely?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards). We will calculate the total number of hands possible.Is this a combination or permutation? Why?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards). What set up will you put into the calculator to find the total number of hands possible?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards). How many different hands are possible? Use commas in your answer.

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards). Refer to the picture and information at the beginning of the quiz, how many cards are hearts?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).Is this a combination or permutation? Why?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards). What set up will you put into the calculator to find the total number of hands possible?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards). How many different hands are possible?Include commas in your answer.

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards). How many cards in the deck are NOT hearts?

A swim coach has 7 swimmers that he is teaching to be part of a 4-person relay team.How many different groups of 4 swimmer groups can the coach make if he lines them up randomly?Hint: You need to decide if this is a permutation or a combination, then calculate.

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.Would this be a combination or permutation? Why?

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.What set up will you put into the calculator to find the total number of groups possible if you are only going to scratch off 3 of the 12 spaces?

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’. How many groups are possible for scratching off three of the 12 spaces on the lottery ticket?

There are 6 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can you order one burger or one order of fries or one milkshake?

There are 6 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can you order one burger, 1 order of fries and one milkshake?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
We will calculate the total number of hands possible.
Is this a combination or permutation? Why?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).

What set up will you put into the calculator to find the total number of hands possible?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).

How many different hands are possible?
Use commas in your answer.

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
Refer to the picture and information at the beginning of the quiz, how many cards are hearts?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).
Is this a combination or permutation? Why?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).

What set up will you put into the calculator to find the total number of hands possible?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).

How many different hands are possible?
Include commas in your answer.

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).
How many cards in the deck are NOT hearts?

A swim coach has 7 swimmers that he is teaching to be part of a 4-person relay team.

How many different groups of 4 swimmer groups can the coach make if he lines them up randomly?
Hint: You need to decide if this is a permutation or a combination, then calculate.

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.
Would this be a combination or permutation? Why?

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.
What set up will you put into the calculator to find the total number of groups possible if you are only going to scratch off 3 of the 12 spaces?

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.

How many groups are possible for scratching off three of the 12 spaces on the lottery ticket?

You draw a card from a well shuffled deck of cards and record the suit.

1. select the sample space
2. do you think the events in the sample space are equally likely?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
We will calculate the total number of hands possible.
Is this a combination or permutation? Why?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).

What set up will you put into the calculator to find the total number of hands possible?

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).

How many different hands are possible?
Use commas in your answer.

You’re playing poker with some friends, and are about to be dealt 5 cards from a well shuffled standard deck of cards (52 cards).
Refer to the picture and information at the beginning of the quiz, how many cards are hearts?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).
Is this a combination or permutation? Why?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).

What set up will you put into the calculator to find the total number of hands possible?

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).

How many different hands are possible?
Include commas in your answer.

You’re playing hearts with some friends, and are about to be dealt 7 cards from a well shuffled standard deck of cards (52 cards).
How many cards in the deck are NOT hearts?

A swim coach has 7 swimmers that he is teaching to be part of a 4-person relay team.

How many different groups of 4 swimmer groups can the coach make if he lines them up randomly?
Hint: You need to decide if this is a permutation or a combination, then calculate.

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.
Would this be a combination or permutation? Why?

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.
What set up will you put into the calculator to find the total number of groups possible if you are only going to scratch off 3 of the 12 spaces?

A scratch off lottery ticket has 12 concealed spaces among which are 4 symbols saying ‘Win!’.

How many groups are possible for scratching off three of the 12 spaces on the lottery ticket?