Answered

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2 and the probability that event A occurs given 2 In an experiment, the probability that event B occurs is 3 6 that event B occurs is 7 What is the probability that events A and B both occur? Simplify any fractions.

Sagot :

In order to find the probability that events A and B both occurs, we can use the following formula:

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

So we have that:

[tex]\begin{gathered} \frac{6}{7}=\frac{P(A\cap B)}{\frac{2}{3}} \\ 7\cdot P(A\cap B)=6\cdot\frac{2}{3} \\ 7\cdot P(A\cap B)=4 \\ P(A\cap B)=\frac{4}{7} \end{gathered}[/tex]

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