Multiple choice

When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

  1. 1/8

  2. 1/4

  3. 1/3

  4. 3/8

  5. 1/2
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B Correct answer
Explanation

There are 2^3 = 8 total outcomes. The outcomes where it lands on the same side are (H,H,H) and (T,T,T). Probability = 2/8 = 1/4.

AI explanation

When a fair coin is tossed 3 times, the total number of possible outcomes in the sample space is 2 cubed, which equals 8. To land on the same side each time, the coin must either land on heads three times or tails three times, yielding exactly 2 favorable outcomes. By the classical definition of probability, we divide the 2 favorable outcomes by the 8 total outcomes to get 1/4.

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