Statistics And Probability Question 476

Question: A coin is tossed successively three times. The probability of getting exactly one head or 2 heads, is

[AISSE 1990]

Options:

A) $ \frac{1}{4} $

B) $ \frac{1}{2} $

C) $ \frac{3}{4} $

D) None of these

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Answer:

Correct Answer: C

Solution:

  •         Required probability                  $ ={}^{3}C_1{{( \frac{1}{2} )}^{1}}.{{( \frac{1}{2} )}^{2}}+{}^{3}C_2{{( \frac{1}{2} )}^{2}}.{{( \frac{1}{2} )}^{1}}=\frac{3}{8}+\frac{3}{8}=\frac{6}{8}=\frac{3}{4} $ .