In the Coin Game, you toss three coins at the same time. You win only if the 3 coins are all showing heads, or if the 3 coins are all showing tails. If you play the game once only, what is the probability of winning?
(A) $\frac{1}{6}$
(B) $\frac{1}{4}$
(C) $\frac{2}{27}$
(D) $\frac{2}{3}$
(E) $\frac{1}{3}$
When tossing a single coin, there are two possible outcomes, a head $(\mathrm{H})$ or a tail $(\mathrm{T})$.

When tossing 2 coins, there are $2 \times 2=4$ possible outcomes.

These are HH, HT, TH, and TT.

When tossing 3 coins, there are $2 \times 2 \times 2=8$ possible outcomes.

These are HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.

Of these 8 possible outcomes, there are 2 winning outcomes, HHH and TTT.

Thus, the probability of winning the Coin Game is $\frac{2}{8}=\frac{1}{4}$.

ANSWER: (B)