Conditional Probability Independence Multiplicative Rules

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

Given P(A) = .8 and P( B| A) = .3, find P( A and B).

• 2.6

• .12

• .24

• .38

What is the probability that a randomly selected student plays sports given that they do not do community service?

What is the probability that a student plays sports given that they do community service?

What is the probability that a randomly selected student plays sports and does not participate in community service?

What is the probability that a student takes Latin given that they participate in a club?

What is the probability that a student does not participate in a club given that they take sign language?

• .2855
• .6246
• .0922
• .3230