Unit 8 Day 10 Quiz: Ch 12 Sample Space & Basic Probability

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)
            

4

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?

4

You shake a coin out of a piggy bank containing a quarter, a penny, a dime and a nickel; record the value.

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

8

A large basket contains brightly colored eggs that are pink, blue, orange & yellow. There is an equal amount of pink, blue, orange and yellow eggs in the basket.
Young children are told they can choose 2 eggs to open.
Use the 'show your work section to create a sample space showing all the possible pairings for a child could choose.

For credit you need to show the sample space!

4

Use the sample space from the previous question:

Are the outcomes equally likely?
How do you know?

For full credit you need to answer both questions!

4

Using the previous sample space, what is the probability that a child will choose two eggs of the same color?
(this assumes the children choose eggs randomly without looking at the color)

4

Anitra has played the lottery every week for many years and has never won a major prize.
Each time she loses, she says she is getting closer to someday winning that prize.
Comment on her reasoning using information we have discussed in class.

4

A company is testing their batteries in digital cameras to see if they last long enough to take 500 pictures. Each day they test 20 batteries and graph the overall percentage of the batteries that have failed the test so far.

Estimate the probability that one of the company’s batteries will fail before taking 500 pictures with a digital camera. __________ Explain your reasoning.
Ignore the letter 'A' on the graph.

4

What Statistical law is being illustrated in the previous question?

4

The coach of the football team needs to choose a kicker for a critical field goal in the championship game. These are his choices and strategies.
Choose Donnie because he missed his last five shots over the last several games. He’s due to make this field goal.
Choose Ronnie because he has made his last three kicks earlier in the game so he’s “on a roll” tonight.
Choose Lonnie because he has the highest overall season percentage of making field goals.
Based on your understanding of probability, which is the best strategy _____ and why?
Answer both questions for full credit.

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 will calculate the total number of hands possible.
Is this a combination or permutation? Why?

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

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.

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?

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?
Use the Math keyboard for subscript numbers (far right, second row down), use the arrow key to get out of the subscript level.

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.
How many hands contain only hearts?
Use commas in your answer.

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:

Note: negative E (-E) means move the decimal point over to the left that many places.
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 ).

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.

We are wondering how many different choices of books could the class read. Would this be a permutation or a combination?
Why?

4

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

As the coach puts the swimmers into groups of 4 to practice, would this be a permutation or a combination?
Why?

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.
Would this be a permutation or combination?
Why?

4

There are 5 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can your order one burger, one order of fries and one milkshake?

4

There are 5 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can your order one burger or one order of fries or one milkshake?

4

According to the Book of Odds, the probability that a randomly selected U.S. adult usually eats breakfast is 0.61.
Explain what the probability means in this setting.
Think of class discussions about interpreting probability.

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 shake a coin out of a piggy bank containing a quarter, a penny, a dime and a nickel; record the value.1. select the sample space2. do you think the events in the sample space are equally likely?

Use the sample space from the previous question:Are the outcomes equally likely? How do you know?For full credit you need to answer both questions!

Using the previous sample space, what is the probability that a child will choose two eggs of the same color?(this assumes the children choose eggs randomly without looking at the color)

Anitra has played the lottery every week for many years and has never won a major prize. Each time she loses, she says she is getting closer to someday winning that prize. Comment on her reasoning using information we have discussed in class.

What Statistical law is being illustrated in the previous question?

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 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.How many hands contain only hearts?Use commas in your answer.

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.We are wondering how many different choices of books could the class read. Would this be a permutation or a combination?Why?

A swim coach has 7 swimmers that he is teaching to be part of a 4-person relay team.As the coach puts the swimmers into groups of 4 to practice, would this be a permutation or a combination?Why?

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.Would this be a permutation or combination?Why?

There are 5 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can your order one burger, one order of fries and one milkshake?

There are 5 different burgers, 3 sizes of fries and 8 different milkshakes on the menu at Shake Shack. How many ways can your order one burger or one order of fries or one milkshake?

According to the Book of Odds, the probability that a randomly selected U.S. adult usually eats breakfast is 0.61.Explain what the probability means in this setting.Think of class discussions about interpreting probability.

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 shake a coin out of a piggy bank containing a quarter, a penny, a dime and a nickel; record the value.

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

Use the sample space from the previous question:

Are the outcomes equally likely?
How do you know?

For full credit you need to answer both questions!

Using the previous sample space, what is the probability that a child will choose two eggs of the same color?
(this assumes the children choose eggs randomly without looking at the color)

Anitra has played the lottery every week for many years and has never won a major prize.
Each time she loses, she says she is getting closer to someday winning that prize.
Comment on her reasoning using information we have discussed in class.

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 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.
How many hands contain only hearts?
Use commas in your answer.

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.

We are wondering how many different choices of books could the class read. Would this be a permutation or a combination?
Why?

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

As the coach puts the swimmers into groups of 4 to practice, would this be a permutation or a combination?
Why?

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.
Would this be a permutation or combination?
Why?

According to the Book of Odds, the probability that a randomly selected U.S. adult usually eats breakfast is 0.61.
Explain what the probability means in this setting.
Think of class discussions about interpreting probability.