Question

A fair coin is tossed thrice, what is the probability of getting all 3 same outcomes?

A 3⁄4 Correct Answer Incorrect Answer
B 1⁄4 Correct Answer Incorrect Answer
C 4/7 Correct Answer Incorrect Answer
D 1⁄2 Correct Answer Incorrect Answer
E 1⁄6 Correct Answer Incorrect Answer

Solution

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} All 3 same outcomes mean either all head or all tail Total outcomes = 8 Favourable outcomes = {HHH, TTT} = 2 ∴ required probability =   2 ⁄8  = 1 ⁄4 .

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