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  • If the events A and B are independent, then P(A ∩ B) is equal to A. P (A) + P B. (B) P(A) – P(B) C. P (A) . P(B) D. P(A) | P(B)

If the events A and B are independent, then P(A ∩ B) is equal to
A. P (A) + P
B. (B) P(A) – P(B)
C. P (A) . P(B)
D. P(A) | P(B)

Answers (1)

We know that if events A and B are independent,
\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\mathrm{P}(\mathrm{A}) \cdot \mathrm{P}(\mathrm{B})
From the definition of the independent Event,
\\\mathrm{P}(\mathrm{A} \mid \mathrm{B})=\frac{\mathrm{P}(\mathrm{A} \cap \mathrm{B})}{\mathrm{P}(\mathrm{B})}$ \\$P(A)=\frac{P(A \cap B)}{P(B)}$ \\$P(A \cap B)=P(A) \cdot P(B)

Option C is correct.

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infoexpert22

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