Question

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

Answer 1

Answer: The required probability is 0.79

Step-by-step 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 $P(A/B)= \dfrac{P(A \text { and } B)}{P(B)}$

So we have

$P(A/B) = \dfrac{0.19}{0.24} \approx 0.79$

Hence ,the required probability is 0.79