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16 Nov 2020, 04:45
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D
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:
69% (01:23) correct
31%
(01:27)
wrong
based on 172
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Flipping a fair two-sided coin, the probability of getting heads is equal to the probability of getting tails. If the coin is flipped three times consecutively, what is the probability of getting heads at least twice?
A. 1/8
B. 1/4
C. 1/3
D. 1/2
E. 2/3
A. 1/8
B. 1/4
C. 1/3
D. 1/2
E. 2/3
16 Nov 2020, 05:50
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Bunuel
P(H) = P(T) = 1/2
Getting heads at least twice = P(2 H and 1 Tails) + P(all 3 heads)
Number of ways of getting 2 heads and 1 tails = HHT, HTH and THH. The probability = 3 * (1/2) * (1/2) * (1/2) = 3/8
Number of ways of getting all heads = HHH = 1. The probability = (1/2) * (1/2) * (1/2) = 1/8
Therefore the required probability = 3/8 + 1/8 = 4/8 = 1/2
Option D
Arun Kumar
16 Nov 2020, 07:22
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The probability of getting Heads more than half the time must equal the probability of getting Tails more than half the time. Those are the only two things that can happen if we flip a coin 3 times, so the answer is 1/2.
