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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? 
Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Tossing Coins
When tossing a single coin, there are two possible outcomes, a head (H) or a tail (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 $\frac{1}{4}$ .  Answer: E 