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3 In an experiment, the probability that event B occurs is –, and the probability that event A occurs given 7 3 that event B occurs is 8 What is the probability that events A and B both occur? Simplify any fractions.

Sagot :

Answer: P(A and B) = 9/56

Probability that event A occured = 3/7

Probability that event B occured = 3/8

[tex]\begin{gathered} \text{Probability that event A and B occured = P(A) }\cdot\text{ P(B)} \\ \text{Probability of A and B = }\frac{3}{7}\text{ x }\frac{3}{8} \\ P(A\text{ and B) = }\frac{9}{56} \end{gathered}[/tex]

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