Unit 8 Day 10 Quiz: Ch. 12 Sample Space & 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 toss 2 fair coins; record the order of heads and tails for the flips.

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

4

You roll a fair 6 sided die; record the number rolled.

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 blue, pink, orange and yellow eggs.
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 if the child randomly selects two eggs?
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 different colors?
(this assumes the children choose eggs randomly without looking at the color)

4

A company is testing a newly developed coin to be used in the Super Bowl, they are trying to determine if the coin is fair and can be used to start the game.

Estimate the probability that a flip of the coin will give heads. __________
Explain your reasoning.

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 Ronnie because he missed his last five shots over the last several games. He’s due to make this field goal.
Choose Lonnie because he has made his last three kicks earlier in the game so he’s “on a roll” tonight.
Choose Donnie 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 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?

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

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.

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?

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.

Enter your answer with commas.

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(at least one heart) = # 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).

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.

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

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.

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.

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?

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?

4

A husband and wife decide to have children until they have at least one child of each gender. The couple has seven girls in a row. Their doctor assured them that they were much more likely to have a boy for their next child after all those girls.
Do you think the doctor is correct? Explain using statistics and what we have discussed in class.

4

In the National Health and Nutrition Examination Survey of 2017-2018 the Harvard School of Public Health found that the probability a randomly selected American adult is over weight is 71.6%.
Explain the meaning of this probability in this context using ideas we have discussed in class.

You toss 2 fair coins; record the order of heads and tails for the flips.1. select the sample space2. do you think the events in the sample space are equally likely?

You roll a fair 6 sided die; record the number rolled. 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 if the child randomly selects two eggs? 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 different colors?(this assumes the children choose eggs randomly without looking at the color)

A company is testing a newly developed coin to be used in the Super Bowl, they are trying to determine if the coin is fair and can be used to start the game.Estimate the probability that a flip of the coin will give heads. __________ Explain your reasoning.

What Statistical law is being illustrated in the previous question?

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?

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.Enter your answer with commas.

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?

In the National Health and Nutrition Examination Survey of 2017-2018 the Harvard School of Public Health found that the probability a randomly selected American adult is over weight is 71.6%.Explain the meaning of this probability in this context using ideas we have discussed in class.

You toss 2 fair coins; record the order of heads and tails for the flips.

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

You roll a fair 6 sided die; record the number rolled.

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 if the child randomly selects two eggs?
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 different colors?
(this assumes the children choose eggs randomly without looking at the color)

A company is testing a newly developed coin to be used in the Super Bowl, they are trying to determine if the coin is fair and can be used to start the game.

Estimate the probability that a flip of the coin will give heads. __________
Explain your reasoning.

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?

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.

Enter your answer with commas.

In the National Health and Nutrition Examination Survey of 2017-2018 the Harvard School of Public Health found that the probability a randomly selected American adult is over weight is 71.6%.
Explain the meaning of this probability in this context using ideas we have discussed in class.