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26 Apr 2022, 07:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (02:03) correct
26%
(02:12)
wrong
based on 143
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An a small raffle, there are only 2 prizes, and 30 tickets are sold. A boy has 3 tickets in the raffle. Find the probability that he wins both prize?
A. 28/145
B. 3/20
C. 1/10
D. 27/290
E. 1/145
A. 28/145
B. 3/20
C. 1/10
D. 27/290
E. 1/145
03 May 2022, 22:48
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Bunuel
There are TWO tickets that will give him a win and ONE ticket that will not win.
Probabily of winning in the first draw \(= \frac{2}{30}\)
Probabily of winning in the second draw \(= \frac{1}{29}\)
Probabily of loosing in the third draw\(= \frac{28}{28}\)
Now it is not necessary that this can happen in this order, it can also happen that he losses first and wins the other two, or wins the first and last, and losses the middle one. ( i.e. WWL, LWW, WLW )
Basically, number of ways W,W,L can be arranged where two are of the same kind \(= \frac{3!}{2}\\
\)
Hence \(\frac{2}{30}*\frac{1}{29}*\frac{28}{28}*\frac{3!}{2} = \frac{1}{145}\)
Ans E
02 Jan 2024, 22:47
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Here is an explanation.
Final Probability is (3/30) * (2/29) = 1/145
Final Probability is (3/30) * (2/29) = 1/145
