The probability of an event 'W' is 0.324. What is the probability that of three independent trials, the event W will occur twice?
Why is it not correct to simply say P(W) x P(W) x P(Wcomplement)?
Is this a matter of conditional probability?
2026-04-03 04:53:11.1775191991
Probability of an event occurring two out of three times
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Hint:
$$W\text{ exactly twice}=(W_1\cap W_2\cap W_3^{\complement})\cup(W_1\cap W_2^{\complement}\cap W_3)\cup(W_1^{\complement}\cap W_2\cap W_3)$$ so a union of $3$ mutually exclusive events.