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

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Senior Manager
Joined: 20 May 2014
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Event X and event Y are independent. The probability of even [#permalink]  24 Oct 2017, 01:05
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59% (01:08) correct 40% (00:44) wrong based on 37 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
Director
Joined: 03 Sep 2017
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Kudos [?]: 343 [1] , given: 66

Re: Event X and event Y are independent. The probability of even [#permalink]  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).

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