Conditional Probability Review

What is the probability a passenger on the Titanic surviving given they are in first class?

• .2855

• .6246

• .0922

• .3230

In a class of 30 students, 18 are girls and 12 are boys. If a student is selected at random, what is the probability that the student is a girl given that the student is not a boy?

A die is rolled. What is the probability of getting an even number given that the number is greater than 2?

Two cards are drawn from a deck of 52 cards without replacement. What is the probability that the second card is a heart given that the first card drawn was a heart?

If the probability of event A is 0.4 and the probability of event B is 0.5, and A and B are independent events, what is the probability of both A and B occurring?

• 0.2

• 0.9

• 0.1

• 0.5

A box contains 10 apples, 4 of which are rotten. If two apples are selected at random, what is the probability that both are rotten?

A coin is tossed twice. What is the probability of getting two heads given that at least one head is obtained?

If the probability of event A is 0.7 and the probability of event B is 0.2, and A and B are independent events, what is the probability of neither A nor B occurring?

• 0.06

• 0.24

• 0.3

• 0.1

A student is selected at random from a class of 40 students, where 25 are boys and 15 are girls. What is the probability that the student is a girl given that the student is not a boy?

A coin is tossed three times. What is the probability of getting exactly two heads given that at least one head is obtained?