Question

P(A) = 0.14. P(B) = 0.24, and P(A and B) = 0.19. Find P(A given B). Round your

answer to the nearest hundredth (2 decimal places). *

Answer 1

Answer: The required probability is 0.79

Explanation:

Given: P(A) = 0.14

P(B) = 0.24

P(A and B) = 0.19

To find: P(A given B)

The conditional probability of an event A is the probability that the event will occur given the knowledge of an already occurred event B and is denoted by

`P(A/B)` or
`P(A \text { given } B)` where the value of
`P(A/B)= \frac{P(A \text { and } B)}{P(B)}`

So we have

`P(A/B) = (0.19)/(0.24) \approx 0.79`

Hence ,the required probability is 0.79