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Two events, A and B, are independent, and have the following probabilities:

P(A)=12

P(B)=14

What is P(A∩B)?

Enter your answer as a reduced fraction, like this: 42/53

Respuesta :

gmany

If A and B are independent, then [tex]P(A\cap B)=P(A)\cdot P(B)[/tex]

We have:

[tex]P(A)=\dfrac{1}{2},\ P(B)=\dfrac{1}{4}[/tex]

Substitute:

[tex]P(A\cap B)=\dfrac{1}{2}\cdot\dfrac{1}{4}=\dfrac{1}{8}[/tex]

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