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5 June, 08:31

Given that events A and B are independent with P (A) = 0.75 and

P (AnB) = 0.165, determine the value of P (B), rounding to the nearest

thousandth, if necessary.

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  1. 5 June, 12:05
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    Answer:The value of P (B) = 0.22

    Step-by-step explanation:

    The probability of event A, P (A) = 0.75

    The probability of events A and B, P (A ∩ B) = 0.165

    The probability of event B, P (B) = ?

    Independent events are those where the probability of A event occurring doesn't affect the probability of B event. In other words, they don't depend upon each other and are independent.

    By formula,

    P (A ∩ B) = P (A). P (B)

    By substituting the values to the above equation, we get

    0.165 = 0.75 * P (B)

    P (B) = 0.22
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