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Three unbiased coins are tossed. What is the probability of getting at most two heads?

Question:
Three unbiased coins are tossed. What is the probability of getting at most two heads?

[A].

3
4

[B].

1
4

[C].

3
8

[D].

7
8

Answer: Option D

Explanation:

Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}

Let E = event of getting at most two heads.

Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.

P(E) = n(E) = 7 .
n(S) 8