Question

Which of the following is an example of conditional probability?

Probability of getting an A on a test
Probability of drawing a club from a deck of 52 cards
Probability of hitting a home run
Probability of hitting a home run, given that you didn't strike out

Answer 1

Conditional probability means that the action is subject to a condition, that it can only happen if some condition is met. So D is the answer. None of the others imposes any condition being met.

Answer 2

Option 4 - (Probability of hitting a home run, given that you didn't strike out) is a conditional probability.

Explanation:

Conditional probability -

The probability of event A under the condition of event B.

or, it is a measure of probability of an event given that the another event has occurred.

1) Probability of getting an A on a test - No other event happen in this case therefore, it is not a conditional probability.

2) Probability of drawing a club from a deck of 52 cards - No other event happen in this case therefore, it is not a conditional probability.

3) Probability of hitting a home run - No other event happen in this case therefore, it is not a conditional probability.

4) Probability of hitting a home run, given that you didn't strike out- It is a conditional probability because event (hitting a home run) is happened under the condition that you didn't strike out. (By definition)

Therefore, option 4 is the example of conditional probability.