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Intersection of Sets

Which of the ...

Question

Which of the following is true for two independent events?

Multiplication rule is not valid

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P (A \cap B) = P (A) P (B)

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Both are correct

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None is correct

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Solution

The correct option is A $P (A \cap B) = P (A) P (B)$
We know that when $A$ and $B$ are independent events, then the intersection of two events is given by $P (A \cap B) = P (A) P (B)$ .

Hence option $(B)$ is correct.

Suggest Corrections

Similar questions

P (A) = \frac{1}{2}, P (B) = \frac{1}{5}

P (A \cup B) = \frac{3}{5}

P (A \cap B) = P (A) P (B)

If the events A and B are independent, then P (A \cap B) is equal to (a) P (A) + P (B) (b) P (A) - P (B) (c) P (A) P (B) (d) \frac{P (A)}{P (B)}

A, B, C

0 < P (A), P (B), P (C) < 1,

I . A

B \cup C

I I . A

B \cap C

P (A \cup B) = P (A \cap B),

If A and B are two events such that P (A) \neq 0 and P (B) \neq 1, then P (A | B) = (a) 1 - P (A | B) (b) 1 - P (A | B) (c) \frac{1 - P (A \cup B)}{P (B)} (d) \frac{P (A)}{P (B)}

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