Coins

Let us have a look at some probability questions based on Coins.

Q. Three unbiased coins are tossed. What is the probability of getting:

A. All tails
B. Two tails
C. One tail

Explanation:

Sample space S = {HHH, THH, HTH, HHT, HTT, THT, TTH, TTT}, so a total of 8 possible outcomes.

A. Favourable elementary events = {TT}, i.e. 1 favourable event. So, required probability = 1/8

B. Favourable elementary events = {HTT, THT, TTH}, i.e. 3 favourable events. So, required probability = 3/8

C. Favourable elementary events = {THH, HTH, HHT}, i.e. 3 favourable events. So, required probability = 3/8

Note: As the coin is unbiased, the probability of getting one tail will be the same as the probability of getting one head.

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