Unit 9 Day 2 Probability Practice #2

Use the following information for problems #1-

How is the hatching of water python eggs influenced by the temperature of the snake's nest?

Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold.

Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother.

The results are shown in the two-way table below.

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4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If we randomly select an egg, find P(hatched):
Hint: (you will use the marginal distribution)
Express your answer as a decimal rounded to three places after the decimal point.

4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If we randomly select an egg, find the probability that the egg hatched given that it was in cold temperature: P(hatched|Cold)=
Hint: (double check the total you will use)
Express your answer as a decimal rounded to three places after the decimal point.

4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If we randomly select an egg, find the probability that the egg hatched given that it was in neutral temperature: P(hatched|Neutral)=
Hint: (double check the total you will use)
Express your answer as a decimal rounded to three places after the decimal point.

4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
Compare the probabilities in #1-3, are nest temperature and hatched status independent?
Check all that apply.

The probability percentages are all different.

The temperature matters, the warmer eggs have a higher likelihood of hatching.

It doesn't matter what temperature, the eggs have the same likelihood of hatching.

No, they are not independent.

Yes, they are independent.

The probability percentages are all similar.

4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If an egg is randomly selected, find P(Cold or not hatched)=
Hint: (double check the total you will use)
Express your answer as a decimal rounded to three places after the decimal point.

4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If an egg is randomly selected, find P(not Hot|hatched)=
Hint: (double check the total you will use)
Express your answer as a decimal rounded to three places after the decimal point.

6

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.
Fill in the Venn Diagram, using the % given.
I will grade this question, but you will use the information for the following questions.

4

Are using a Mac and/or a PC mutally exclusive?
How do you know?
Check all that apply.

They are not independent.

They are independent.

You can have both at the same time.

Yes, they are mutually exclusive.

No, they are not mutually exclusive.

You cannot have both at the same time.

6

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.
What percent of the students used a Mac or a PC at the campus?
Enter your answer as a percent.

6

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.
What percent of the students used a Mac but not a PC at the campus?
Enter your answer as a percent.

6

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.
What percent of the students who used a Mac also used a PC at the campus?
(Given that the students used a Mac, what percent also used a PC?)
P(PC|Mac)=
It might be helfpul to sketch a 2-way table to answer the question.
Enter your answer as a percent that is rounded to one place past the decimal point or as a decimal.

4

Use the picture of a deck of cards to help you answer the question:
You draw a card at random from a standard deck of 52 cards.
Find the conditional probability the card is a heart given that it is red.
P(heart|red)=
Express your answer as a decimal rounded to three places past the decimal point.

4

Use the picture of a deck of cards to help you answer the question:
You draw a card at random from a standard deck of 52 cards.
Find the conditional probability the card is an ace, given that it is red.
P(ace|red)=
Express your answer as a decimal rounded to three places past the decimal point.

4

Use the picture of a deck of cards to help you answer the question:
You draw a card at random from a standard deck of 52 cards.
Find the conditional probability the card is a queen, given that it is a face card.
P(Queen|face card)=
Express your answer as a decimal rounded to three places past the decimal point.

4

Use the picture of a standard deck of 52 cards to help you answer the question:
If you draw 2 cards from a well shuffled deck of 52 cards, what is the probability that they are both hearts?
Hint: they are drawn without replacement, remember to assume that you got what you wanted in the first card.
P(heart, heart)=P(heart)xP(heart|1st card is a heart)=
Express your answer as a decimal rounded to three places past the decimal point.

4

Use the picture of a standard deck of 52 cards to help you answer the question:
You are dealt a hand of three cards from a well shuffled deck of 52 cards, one at a time, no replacement.
What is the probability the first heart you get is the third card dealt?
Hint: they are drawn without replacement, remember to assume that you got what you wanted in the first card.
P(not red, not red, red)=P(not red)xP(not red|1st card is not red)xP(red|1st & 2nd cards were not red)=
Express your answer as a decimal rounded to three places past the decimal point.

4

Use the picture of a standard deck of 52 cards to help you answer the question:
You are dealt a hand of three cards from a well shuffled deck of 52 cards, one at a time, no replacement.
What is the probability the cards are all not spades?
Hint: they are drawn without replacement, remember to assume that you got what you wanted in the first card.
P(not spades, not spades, not spades)=P(not spades)xP(not spades|1st card is not spades)xP(not spades|1st & 2nd cards were not spades)=
Express your answer as a decimal rounded to three places past the decimal point.

4

Use the picture of a standard deck of 52 cards to help you answer the question:
You are dealt a hand of three cards from a well shuffled deck of 52 cards, one at a time, no replacement.
What is the probability you get at least one spade?
Hint: they are drawn without replacement, remember to assume that you got what you wanted in the first card.
P(at least one of three is a spades)= 1-P(not spades, not spades, not spades)
Express your answer as a decimal rounded to three places past the decimal point.

Unit 9 Day 2 Probability Practice #2

Suppose we select one of the eggs at random. Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched. Compare the probabilities in #1-3, are nest temperature and hatched status independent?Check all that apply.

Are using a Mac and/or a PC mutally exclusive?How do you know?Check all that apply.

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.What percent of the students used a Mac or a PC at the campus?Enter your answer as a percent.

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.What percent of the students used a Mac but not a PC at the campus?Enter your answer as a percent.

Use the picture of a deck of cards to help you answer the question: You draw a card at random from a standard deck of 52 cards. Find the conditional probability the card is a heart given that it is red.P(heart|red)=Express your answer as a decimal rounded to three places past the decimal point.

Use the picture of a deck of cards to help you answer the question: You draw a card at random from a standard deck of 52 cards. Find the conditional probability the card is an ace, given that it is red.P(ace|red)=Express your answer as a decimal rounded to three places past the decimal point.

Suppose we select one of the eggs at random. Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched. Compare the probabilities in #1-3, are nest temperature and hatched status independent?Check all that apply.

Are using a Mac and/or a PC mutally exclusive?How do you know?Check all that apply.

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.What percent of the students used a Mac or a PC at the campus?Enter your answer as a percent.

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.What percent of the students used a Mac but not a PC at the campus?Enter your answer as a percent.

Use the picture of a deck of cards to help you answer the question: You draw a card at random from a standard deck of 52 cards. Find the conditional probability the card is a heart given that it is red.P(heart|red)=Express your answer as a decimal rounded to three places past the decimal point.

Use the picture of a deck of cards to help you answer the question: You draw a card at random from a standard deck of 52 cards. Find the conditional probability the card is an ace, given that it is red.P(ace|red)=Express your answer as a decimal rounded to three places past the decimal point.

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
Compare the probabilities in #1-3, are nest temperature and hatched status independent?
Check all that apply.

Are using a Mac and/or a PC mutally exclusive?
How do you know?
Check all that apply.

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.
What percent of the students used a Mac or a PC at the campus?
Enter your answer as a percent.

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.
What percent of the students used a Mac but not a PC at the campus?
Enter your answer as a percent.

Use the picture of a deck of cards to help you answer the question:
You draw a card at random from a standard deck of 52 cards.
Find the conditional probability the card is a heart given that it is red.
P(heart|red)=
Express your answer as a decimal rounded to three places past the decimal point.

Use the picture of a deck of cards to help you answer the question:
You draw a card at random from a standard deck of 52 cards.
Find the conditional probability the card is an ace, given that it is red.
P(ace|red)=
Express your answer as a decimal rounded to three places past the decimal point.

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
Compare the probabilities in #1-3, are nest temperature and hatched status independent?
Check all that apply.

Are using a Mac and/or a PC mutally exclusive?
How do you know?
Check all that apply.

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.
What percent of the students used a Mac or a PC at the campus?
Enter your answer as a percent.

A recent census at a major university revealed that 60% of its students mainly used Macintosh computers (Macs) and 80% used PCs. In the census, 43% used both types of computers.
What percent of the students used a Mac but not a PC at the campus?
Enter your answer as a percent.

Use the picture of a deck of cards to help you answer the question:
You draw a card at random from a standard deck of 52 cards.
Find the conditional probability the card is a heart given that it is red.
P(heart|red)=
Express your answer as a decimal rounded to three places past the decimal point.

Use the picture of a deck of cards to help you answer the question:
You draw a card at random from a standard deck of 52 cards.
Find the conditional probability the card is an ace, given that it is red.
P(ace|red)=
Express your answer as a decimal rounded to three places past the decimal point.