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Micky and Kevin go to a market to buy fruits. The probability of Micky

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 65238
Micky and Kevin go to a market to buy fruits. The probability of Micky  [#permalink]

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New post 02 Jun 2020, 06:49
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Question Stats:

52% (02:21) correct 48% (02:19) wrong based on 20 sessions

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Micky and Kevin go to a market to buy fruits. The probability of Micky buying an apple is 0.25 and of Kevin buying an apple is 0.4. Both Micky and Kevin have a 60% chance of eating the fruits they buy. What is the probability that Kevin eats an apple and Micky does not eat an apple?

A. 3/125
B. 18/250
C. 9/50
D. 51/250
E. 99/100

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Re: Micky and Kevin go to a market to buy fruits. The probability of Micky  [#permalink]

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New post 02 Jun 2020, 07:32
Bunuel wrote:
Micky and Kevin go to a market to buy fruits. The probability of Micky buying an apple is 0.25 and of Kevin buying an apple is 0.4. Both Micky and Kevin have a 60% chance of eating the fruits they buy. What is the probability that Kevin eats an apple and Micky does not eat an apple?

A. 3/125
B. 18/250
C. 9/50
D. 51/250
E. 99/100


case 1 ; Kevin eats an apple
.4*.6 ; .24 ; 6/25
case 2; Micky buys an apple and does not eat
.25*.4 ; 1/10
case3 ; Micky does not buy apple ; .75 ; 3/4
1/10 + 3/4 ; 17/20
so the probability that Kevin eats an apple and Micky does not eat an apple
17/20 * 6/25 ; 51/250
OPTION D
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Re: Micky and Kevin go to a market to buy fruits. The probability of Micky  [#permalink]

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New post 03 Jun 2020, 13:04
1
IMO D

P(Kevin eats an apple and Micky does not eat an apple) = P (Kevin buys apple) * P (Kevin eats apple) * P (MArk buys apple) * P(Mark does not eat apple) OR (+)
= P (Kevin buys apple) * P (Kevin eats apple) * P (MArk does not buy apple)

=> P = (2/5 * 3/5) * (1/4*2/5) + (2/5 * 3/5) * 3/4
= (2/5 * 3/5) * (1/4*2/5 + 3/4)
= 51/250
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Re: Micky and Kevin go to a market to buy fruits. The probability of Micky   [#permalink] 03 Jun 2020, 13:04

Micky and Kevin go to a market to buy fruits. The probability of Micky

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