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[AP Statistics] 5.3b General Multiplication Rule and Tree Diagrams

Last updated 5 months ago

15 questions

1

Let's modify the game. Now the deck has 3 Aces and 4 Kings. What is the probability that a player draws a King first?

Write your answer as a fraction that is not simplified

1

What is the probability of drawing a King given that the first card you drew was a King?

Write your answer as a fraction that is not simplified

1

What is the probability of drawing a King and then another King

Write your answer as a fraction that is not simplified

1

Many women choose to have annual mammograms to screen for breast cancer after age 40. A mammogram isn’t foolproof. Sometimes the test suggests that a woman has breast cancer when she really doesn’t (a “false positive”). Other times, the test says that a woman doesn’t have breast cancer when she actually does (a “false negative”).

Suppose that we know the following information about breast cancer and mammograms in a particular population:

1% of women aged 40 or over in this population have breast cancer.
For women who have breast cancer, the probability of a (correctly) positive mammogram is 0.99.
For women who don’t have breast cancer, the probability of a (correctly) negative mammogram is 0.98.
Draw a tree diagram for this situation.

1

A randomly selected woman aged 40 or over from this population tests positive for breast cancer in a mammogram.

Find the probability that she actually has breast cancer.

Answer as a decimal rounded to two decimal places

1

A randomly selected woman aged 40 or over from this population tests negative for breast cancer in a mammogram.

Find the probability that she does not have breast cancer.

Answer as a decimal rounded DOWN to two decimal places

1

What do we think of the reliability of this test for breast cancer? In what situation is it most useful.

1

1

Answer as a decimal rounded to two places

1

Answer as a decimal rounded to two places

1

Draw a tree diagram to help solve the problem.

1

What is the probability that he missed his first serve, given that he won?

Answer as a decimal rounded to two places

1

Answer as a decimal rounded to two places

1

Answer as a decimal rounded to two places

1

Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.