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# Jason flips a coin three times. What is the probability that the coin

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Jason flips a coin three times. What is the probability that the coin [#permalink]

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13 Aug 2015, 09:35
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60% (00:20) correct 40% (00:26) wrong based on 146 sessions

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Jason flips a coin three times. What is the probability that the coin will land on the same side in all three tosses?

A. 1/16
B. 1/8
C. 1/4
D. 1/3
E. 1/2
[Reveal] Spoiler: OA

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Jason flips a coin three times. What is the probability that the coin [#permalink]

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13 Aug 2015, 09:56
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reto wrote:
Jason flips a coin three times. What is the probability that the coin will land on the same side in all three tosses?

A. 1/16
B. 1/8
C. 1/4
D. 1/3
E. 1/2

reto, this question needs to mention that the coin is unbiased or that there is equal probability of the coin to land as a tail or a head. Without this information, this question can not be solved.

Assuming that the coin is unbiased, P(H) = probability of a head = P(T) = probability of a tail = 0.5

Thus the possible combinations are : HHH or TTT

Total probability = P(HHH) + P(TTT) = $$0.5^3+0.5^3$$ = 0.25 , C is the correct answer.

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Re: Jason flips a coin three times. What is the probability that the coin [#permalink]

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13 Aug 2015, 23:15
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reto wrote:
Jason flips a coin three times. What is the probability that the coin will land on the same side in all three tosses?

A. 1/16
B. 1/8
C. 1/4
D. 1/3
E. 1/2

Total outcome is 2^3=8
Favorable cases HHH or TTT
Therefore, probability is 2/8 or 1/4

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Jason flips a coin three times. What is the probability that the coin [#permalink]

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24 Aug 2016, 20:45
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reto wrote:
Jason flips a coin three times. What is the probability that the coin will land on the same side in all three tosses?

A. 1/16
B. 1/8
C. 1/4
D. 1/3
E. 1/2

Probability of landing Head = 1/2

for three consecutive heads = 1/2*1/2*1/2 = 1/8

In case we repeat this for tails, total probability = 2*1/8 = 1/4

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Re: Jason flips a coin three times. What is the probability that the coin [#permalink]

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08 Dec 2017, 14:53
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Re: Jason flips a coin three times. What is the probability that the coin   [#permalink] 08 Dec 2017, 14:53
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