Probability Conditional

A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?

• 16%

• 1.38%

• 72.3%

• Not enough information

What is P(T given C)?

• 45%

• 29.6%

• 40%

• 33.3%

P(Pizza|Senior):

• 10/15

• 4/5

• 2/3

• 10/5

What is P(Red given blue)?

• 50%

• 26.7%

• 57.1%

• 46.7%

The probability that a certain person will buy a shirt is 0.2, the probability that he will buy a coat is 0.3 and the probability that he will buy a shirt given that he buys a coat is 0.4. Find the probability that he will buy both a

shirt and a coat.

• 0.1

• 0.2

• 0.13

• 0.12

At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below show the orders taken of one day.

Of the order with fries, what is the probability that they would have juice?

• 75/500 = 3/20

• 25/500 = 1/20

• 25/150 = 1/6

• 75/350 = 3/14

What is P(two blues)?

• 50%

• 26.7%

• 15.2%

• 53.3%

An instructor has a question bank consisting of 300 easy true/false questions; 200 difficult true/false questions; 500 easy multiple-choice questions and 400 difficult multiple-choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple-choice question?

• 1/9

• 2/9

• 4/9

• 5/9

Lottery Tickets: 49% of US adults have purchase a state lottery ticket in the past year. Of these 49%, about 27.5% have an income less than $36,000/year. Find the probability that a randomly selected adult has purchase a lottery ticket and has an income less than $36,000.

• 0.135

• 0.765

• 0.176

• 0.240

P(A) = 0.7

P(B) = 0.5

P(A∩B) = 0.2

Find P(B|A)...

• ²/₇

• ²/₅

• ⁵/₇

• ¹/₆