The table in the 'show your work' section shows the results of a telephone survey asking adults if they intended to make online purchases in the next month.
Fill in the missing information:
Ask me to check your answers before you proceed.
The table in the 'show your work' section shows the results of a telephone survey asking adults if they intended to make online purchases in the next month.
Create a Venn Diagram to match the situation. Make sure to use all four numbers.
How many people in this data are males?
How many people in this data are males that intend to make an online purchase?
How many people are females that do not intend to make an online purchase?
Find the probability that a person chosen at random is a male.
Express your answer as a percent (one place past the decimal, use the % sign) or as a decimal proportion (three places past the decimal).
Find the probability that a person chosen at random is a female and intends to buy.
Express your answer as a percent (one place past the decimal, use the % sign) or as a decimal proportion (three places past the decimal).
Find the probability that a person chosen at random is a male and does not intend to buy.
Express your answer as a percent (one place past the decimal, use the % sign)
or
as a decimal proportion (three places past the decimal).
Find the probability that a person chosen at random intends to buy given that they are a female.
Express your answer as a percent (one place past the decimal, use the % sign)
or
as a decimal proportion (three places past the decimal).
Find the probability that a person chosen at random is a male given that they intend to buy online.
Express your answer as a percent (one place past the decimal, use the % sign)
or
as a decimal proportion (three places past the decimal).
Match the following statements with the correct probability notation.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
The probability the person intends to buy and is not a female. | arrow_right_alt | |
The probability the person is a female given they intend to buy. | arrow_right_alt | |
The probability the person is a male or intends to buy online. | arrow_right_alt | |
The probability the person does not intend to buy and is a female. | arrow_right_alt | |
The probability that a person is a male given they intend to buy. | arrow_right_alt | |
The probability that a person intends to buy given that they are a male. | arrow_right_alt |
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?
Enter your answer as a number, do not include units.
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 just to practice the relay, would this be a permutation or a combination?
Why?
A swim coach has 7 swimmers that he will enter to be part of a 4-person relay competition.
As the coach selects the swimmers to create his relay team, 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 and 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?
George has gone shopping at HEB with his little sister, Anna, to pick out some Blue Bell ice cream for her birthday 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?
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?
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?
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).
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.
Enter your answer then check mine in the 'show your work' area.
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.
Type in your answer then check with mine in the 'show your work' area.
If you pick an M&M at random, what is the probability that it is brown?
P(brown)=
If you pick an M&M at random, what is the probability that it is yellow or orange?
P(yellow or orange)=
If you pick an M&M at random, what is the probability that it is not green?
P(not green)= 1 - P(green)
If you pick an M&M at random, what is the probability that it is striped?
P(striped)=
Use the following information for the next section of questions:
The Masterfoods Company says yellow candies make up 20% of their plain M&M’s, red another 20%, and orange, blue, and green each make up 10%. The rest are brown.
If you pick three M&M’s (from a very very large bowl, 1000's, so they are independent).
What is the probability that they are all brown?
P(brown, brown, brown)=
If you pick three M&M's, what is the probability that none are yellow?
Hints: P(not yellow) = 1 - P(yellow)
P(not yellow, not yellow, not yellow)=
If you pick three M&M's what is the probability that the third M&M is the first one that is red?
Hint: P(not red, not red, red)=
If you select three M&M's what is the probability that none are green?
Remember: none means the complement
P(not green) =1-P(green)
P(3 not green)= P(not green)^3
If you select three M&m's what is the probability at least one is green?
Remember:
'at least one' reminds us to use 1- the complement
P(at least one green) =1 - P(not green, not green, not green)=
You roll a fair dice three times.
What is the probability that you roll all 6's?
P(6, 6, 6)=
Round to three places past the decimal before turning to a percent.
You roll a fair dice three times.
What is the probability that you roll all odd numbers?
P(odd number, odd number, odd number)=
You roll a fair dice three times.
What is the probability that none of your rolls gets a number divisible by 3?
Hint:
What numbers are divisible by three that are on a dice?
How many numbers is this?
P(not divisible by 3)= 1- P(divisible by three)
P(none divisible by 3) = P(not divisible by 3, not divisible by 3, not divisible by 3)
You roll a fair dice three times.
What is the probability that you don't roll a 5 on all three rolls?
P(not 5 in 3 rolls)=
round to three places past the decimal.
You roll a fair dice three times.
What is the probability that you roll at least one 5?
Hint: 'at least one 5' means you should use the complement of getting no 5's, P(not 5)
P(at least one 5 in three rolls)= 1 - P(not 5, not 5, not 5)=