Unit 8 Day 10 Quiz: Ch 12. Sample Space and Probability cloned 12/7/2022

4

You roll 2 dice; record the larger number. If it is a tie, then that number is recorded.

1. select the sample space
2. do you think the events in the sample space are equally likely?
Think about all the different ways you can get the outcomes.

4

You roll a fair 6 sided die; record if the number is odd or even.

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

8

A family has decided that they would like to adopt two cats from the Humane Society, they can adopt tabby, black, white or calico colored cats. There are the same amount of each color of cat.
Use the 'show your work section to create a sample space showing all the possible pairings for the coloring of the two adopted cats.

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 sample space you created, what is the probability that the family will adopt at least one Tabby cat?
If you write your answer as a decimal, round to four places past the decimal.
If you write your answer as a percent, round to one place past the decimal for the percent.

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

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.
Is this a combination or a permutation?
How do you know?

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 groups of four books can be read?
Is this a permutation or a combination?
How do you know?

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?

Is this a combination or a permutation?
How do you know?

4

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

4

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

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?

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.

What set up will you use in the TI-84 to do the calculation for 'How many different groups are possible for scratching off three of the four ‘Win!’ spaces?'

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?

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 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).

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 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

The airline industry proudly announces that it has set a new record for the longest period of safe flights with no problems. Would you be reluctant to fly?
Are the airlines due to have a crash? Explain using statistical ideas we have discussed in class.

4

A survey by Fact Tank found that the probability that a randomly selected American adult uses Facebook is 69%.
Explain the meaning of this probability in this context using ideas we have discussed in class.

You roll 2 dice; record the larger number. If it is a tie, then that number is recorded.1. select the sample space2. do you think the events in the sample space are equally likely?Think about all the different ways you can get the outcomes.

You roll a fair 6 sided die; record if the number is odd or even. 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 sample space you created, what is the probability that the family will adopt at least one Tabby cat?If you write your answer as a decimal, round to four places past the decimal.If you write your answer as a percent, round to one place past the decimal for the percent.

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?

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.Is this a combination or a permutation?How do you know?

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 groups of four books can be read?Is this a permutation or a combination?How do you know?

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

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

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 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 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?

The airline industry proudly announces that it has set a new record for the longest period of safe flights with no problems. Would you be reluctant to fly?Are the airlines due to have a crash? Explain using statistical ideas we have discussed in class.

A survey by Fact Tank found that the probability that a randomly selected American adult uses Facebook is 69%.Explain the meaning of this probability in this context using ideas we have discussed in class.

You roll 2 dice; record the larger number. If it is a tie, then that number is recorded.

1. select the sample space
2. do you think the events in the sample space are equally likely?
Think about all the different ways you can get the outcomes.

You roll a fair 6 sided die; record if the number is odd or even.

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 sample space you created, what is the probability that the family will adopt at least one Tabby cat?
If you write your answer as a decimal, round to four places past the decimal.
If you write your answer as a percent, round to one place past the decimal for the percent.

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.

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.
Is this a combination or a permutation?
How do you know?

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 groups of four books can be read?
Is this a permutation or a combination?
How do you know?

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

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

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?

The airline industry proudly announces that it has set a new record for the longest period of safe flights with no problems. Would you be reluctant to fly?
Are the airlines due to have a crash? Explain using statistical ideas we have discussed in class.

A survey by Fact Tank found that the probability that a randomly selected American adult uses Facebook is 69%.
Explain the meaning of this probability in this context using ideas we have discussed in class.