QUESTION 1

A test was given to a group of students. The grades and gender are summarized below

	A	B	C	Total
Male	19	4	20	43
Female	16	11	7	34
Total	35	15	27	77

If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'B'.

Answer:

QUESTION 2

Giving a test to a group of students, the grades and gender are summarized below

	A	B	C	Total
Male	10	15	2	27
Female	5	12	18	35
Total	15	27	20	62

If one student is chosen at random, Find the probability that the student was male OR got an "C".

Answer:

QUESTION 3

The results for a test given by a certain instructor not in the School of Sciences by grade and gender follow.

	A	B	C	Total
Male	13	5	15	33
Female	17	16	9	42
Total	30	21	24	75

Find the probability that a randomly selected student was male given that the student earned a grade of 'A'.

Answer:

QUESTION 4

An actuary studied the likelihood that different types of drivers have at least one collision during any one-year period. The results of the study appear below.

Type	Percentage	Collision %
teen	8	12
young adult	19	9
middle aged adult	49	7
senior	24	8

Find the probability that a driver with at least one collision in the past year is a teen driver.

Answer:

QUESTION 5:

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a diamond or spade? (Your answer must be in the form of a reduced fraction.)

Answer: QUESTION 6:

If you randomly select a letter from the phrase "Mario Kart on the Wii is fun," what is the probability that you select a vowel? (Your answer must be in the form of a reduced fraction.)

Answer:

QUESTION 7:

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is not a Jack? (Your answer must be in the form of a reduced fraction.)

Answer:

QUESTION 8:

Francisco buys a bag of cookies that contains 5 chocolate chip cookies, 6 peanut butter cookies, 9 sugar cookies and 5 oatmeal cookies. What is the probability that Francisco randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects an oatmeal cookie? Express you answer as a reduced fraction.

Answer:

QUESTION 9:

Suppose that 40% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Give your answer as a decimal (to at least 3 places) or fraction

Answer:

QUESTION 10:

Suppose a jar contains 20 red marbles and 19 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.

Answer: