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

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Retired Moderator
Joined: 29 Apr 2015
Posts: 816
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
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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, 10:35
2
6
00:00

Difficulty:

25% (medium)

Question Stats:

59% (00:36) correct 41% (00:34) wrong based on 198 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
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Joined: 20 Mar 2014
Posts: 2561
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
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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, 10:56
3
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

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.
##### General Discussion
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Joined: 10 Jun 2015
Posts: 110
Re: Jason flips a coin three times. What is the probability that the coin  [#permalink]

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14 Aug 2015, 00:15
1
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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Location: Singapore
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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, 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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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

C
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Joined: 24 Oct 2016
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Re: Jason flips a coin three times. What is the probability that the coin  [#permalink]

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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
Re: Jason flips a coin three times. What is the probability that the coin   [#permalink] 21 Feb 2019, 18:35
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