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In Episode 3 of our GMAT Ninja Critical Reasoning series, we tackle Discrepancy, Paradox, and Explain an Oddity questions. You know the feeling: the passage gives you two facts that seem completely contradictory....- May 08
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29 Mar 2022, 01:31
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
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Question Stats:
64% (01:14) correct
36%
(01:26)
wrong
based on 132
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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
Are You Up For the Challenge: 700 Level Questions
(A) 1/5
(B) 9/25
(C) 2/5
(D) 3/5
(E) 21/25
Are You Up For the Challenge: 700 Level Questions
30 Mar 2022, 01:24
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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
Fairly easy question to answer:-
So there are two kinds of dates bad/dud or good/dude .
Rules/Basics:-
Two events are independent if occurrence of one event does not influence occurrence of other events. For n independent events the probability is the product of all probabilities of independent events:
p = p1 * p2 * ... * pn-1 * pn
For ex-
Imagine how we arrive at getting two sixes in a dice in a row. (Independent Event)
Now Probability of two duds in a row is given = 4/25
Thus probability of two duds in a row= p(Dud) * p(Dud)
Hence P(Dud)^2= 4/25 or P(Dud)= 2/5
therefore p(Dude)= 1-(2/5)= 3/5 (Since only 2 outcomes are possible "Portia rates all her first dates as either "duds" or "dudes"").
Option D.
(A) 1/5
(B) 9/25
(C) 2/5
(D) 3/5
(E) 21/25
Fairly easy question to answer:-
So there are two kinds of dates bad/dud or good/dude .
Rules/Basics:-
Two events are independent if occurrence of one event does not influence occurrence of other events. For n independent events the probability is the product of all probabilities of independent events:
p = p1 * p2 * ... * pn-1 * pn
For ex-
Imagine how we arrive at getting two sixes in a dice in a row. (Independent Event)
Now Probability of two duds in a row is given = 4/25
Thus probability of two duds in a row= p(Dud) * p(Dud)
Hence P(Dud)^2= 4/25 or P(Dud)= 2/5
therefore p(Dude)= 1-(2/5)= 3/5 (Since only 2 outcomes are possible "Portia rates all her first dates as either "duds" or "dudes"").
Option D.
26 Jan 2026, 12:54
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