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 place

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). *

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Madelyn 1 month 2021-10-13T20:44:46+00:00 1 Answer 0 views 0

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    2021-10-13T20:46:39+00:00

    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

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