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

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Bunuel
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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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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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C
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IlCreatore
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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
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Re: Event X and event Y are independent. The probability of even [#permalink] New post   16 Aug 2021, 08:19
since two events are independent we have product of their probabilties, P(X)*P(Y)=0.16
hence, 0.4*P(Y)=0.16 and P(Y)=0.16/0.4= 16/100 * 10/4 = 4/10 =2/5 which is exactly P(X)=0.4
answer is C
Bunuel wrote:
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


Kudos for correct solution.
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Re: Event X and event Y are independent. The probability of even [#permalink] New post   04 Dec 2024, 10:52
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Re: Event X and event Y are independent. The probability of even [#permalink]
04 Dec 2024, 10:52
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