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09 Oct 2023, 12:29
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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:
45%
(medium)
Question Stats:
64% (01:14) correct
36%
(01:49)
wrong
based on 417
sessions
History
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Time
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Out of 100 lottery tickets, each having 50% chance of winning, 2 tickets are bought at random. What is the probability that at least one ticket will win?
A. 1/4
B. 1/2
C. 49/198
D. 149/198
E. 3/4
A. 1/4
B. 1/2
C. 49/198
D. 149/198
E. 3/4
09 Oct 2023, 13:26
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sanchitb23
P(at least one win) = 1 - P(both loose)
P(win) = P(loose) = \(\frac{1}{2}\)
P(both loose) = \(\frac{1}{2} * \frac{1}{2} = \frac{1}{4}\)
P(at least one win) = \(1 - \frac{1}{2} * \frac{1}{2} = \frac{1}{4}\)
P(at least one win) = \(1 - \frac{1}{4} = \frac{3}{4}\)
Option E
24 Mar 2025, 20:33
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D (N,N) = 1/2 * 49/99 = 49/198 Probability of at least one ticket to win = 1 -(N,N) = 1 -49/198 =149/198 . Why it cannot be D?
