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Protia rates all her first dates as either "duds" or "dudes". Her date

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Protia rates all her first dates as either "duds" or "dudes". Her date  [#permalink]

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New post 03 May 2018, 01:03
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Question Stats:

55% (01:58) correct 45% (01:13) wrong based on 56 sessions

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Portia rates all her first dates as either "duds" or "dudes". Her date on Wednesday night was a dud.On the next night, she went on a date with someone else who was also a dud If the probability of her getting two duds in a row was 4/25,what is the probability that her next date will be a dude?

(A) 1/5
(B) 9/25
(C) 2/5
(D) 3/5
(E) 21/25

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Re: Protia rates all her first dates as either "duds" or "dudes". Her date  [#permalink]

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New post 03 May 2018, 01:28
P(dud)+P(dude)=1. Since a guy can either be a dud or a dude.

Now there were 2 duds in a row. So probability of that is P(dud)*P(dud)= 4/25.

Hence P(dud)= 2/5. And from the first equation we have P(dude)=1-P(dud)= 3/5.


Ans: D (3/5)

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Re: Protia rates all her first dates as either "duds" or "dudes". Her date  [#permalink]

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New post 11 Jul 2020, 06:14
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Re: Protia rates all her first dates as either "duds" or "dudes". Her date   [#permalink] 11 Jul 2020, 06:14

Protia rates all her first dates as either "duds" or "dudes". Her date

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