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Р(А) = 1/2 P(В) = 1/3 If A and B are independent, what is P(A n B)?1/6 5/61/21/3

Sagot :

Given that events A and B are independent.

It follows that the probability of the occurrence of both events is equal to the product of occurrence of each event independently,

[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]

According to the given problem,

[tex]\begin{gathered} P(A)=\frac{1}{2} \\ P(B)=\frac{1}{3} \end{gathered}[/tex]

Substitute the values,

[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]

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