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Event X and event Y are independent. The probability of even

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Event X and event Y are independent. The probability of even [#permalink] New post 24 Oct 2017, 01:05
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55% (01:03) correct 44% (00:41) wrong based on 27 sessions
Event X and event Y are independent. The probability of event X is 40%. The probability of events X and Y both occurring is 16%.

Quantity A
Quantity B
The probability of X occurring
The probability of Y occurring


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given


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[Reveal] Spoiler: OA
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Re: Event X and event Y are independent. The probability of even [#permalink] New post 25 Oct 2017, 07:50
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Since the two events are independent, the probability of the intersection (both events happening) is equal to the product of the individual probabilities, i.e. \(P(X&Y) = P(X)P(Y)\). Substituting we get \(0.16 = 0.4*P(Y)\), from which we get P(Y) = 0.4. Then P(X) = P(Y).

Answer C
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Re: Event X and event Y are independent. The probability of even [#permalink] New post 10 Oct 2018, 22:01
Answer C
Re: Event X and event Y are independent. The probability of even   [#permalink] 10 Oct 2018, 22:01
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Event X and event Y are independent. The probability of even

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