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

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New post 13 Aug 2015, 10:35
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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
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Jason flips a coin three times. What is the probability that the coin  [#permalink]

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New post 13 Aug 2015, 10:56
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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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New post 14 Aug 2015, 00:15
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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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New post 24 Aug 2016, 21:45
2
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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New post 16 Feb 2019, 21:29
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


same side can be TTT or HHH

This means 3!/3 = 2

Now 2/8 will be the number of ways in which we can get coin to land on the same side

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

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New post 21 Feb 2019, 18:35
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


Possible Cases:
HHH or TTT
Both cases are symmetrical.
Probability of one case = (1/2)^3 = 1/8
Total probability of 2 cases = 2*1/8 = 1/4
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Re: Jason flips a coin three times. What is the probability that the coin   [#permalink] 21 Feb 2019, 18:35
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