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P(A) = 3/4P(B) = 1/3If A and B are independent, what is P(A n B)?9/125/121/413/12

Sagot :

If A and B are independent events, then:

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

Then, we have:

[tex]\begin{gathered} P\mleft(A\mright)=\frac{3}{4} \\ P\mleft(B\mright)=\frac{1}{3} \\ P(A\cap B)=P(A)\cdot P(B) \\ P(A\cap B)=\frac{3}{4}\cdot\frac{1}{3} \\ \boldsymbol{P(A\cap B)=\frac{1}{4}} \end{gathered}[/tex]

Therefore, if A and B are independent events, the probability of their

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