Question

If a coin is tossed 3 times the probability of obtaining 2 heads or 2 tails is

• A. $\frac{1}{4}$
• B. $\frac{1}{2}$
• C. $\frac{2}{3}$
• D. $\frac{3}{4}$

Answer 1

Answer: (D)

$\frac{3}{4}$

If a coin is tossed 3 times then following cases are possible:
All are heads: H H H, All are tails: T T T
2 heads and 1 tail: H H T, H T H, T H H
2 tails and 1 head: T T H, T H T , H T T
Favorable cases of obtaining 2 heads or 2 tails are: 6 and total cases are: 8
Probability of obtaining 2 heads or 2 tails is $=\frac{6}{8}=\frac{3}{4}$