Multiple choice

If an unbiased coin is tossed three times, what is the probability of getting more that one head?

  1. $\dfrac{1}{8}$
  2. $\dfrac{3}{8}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{1}{3}$
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C Correct answer
Explanation

More than one head means exactly two heads or exactly three heads. These outcomes number 3 + 1 = 4 out of 8 equally likely outcomes, giving a probability of 4/8 = 1/2.

AI explanation

Using the classical approach to probability, the sample space for tossing an unbiased coin three times contains 2 multiplied by itself three times, or 8, equally likely outcomes. The favorable outcomes for getting more than one head are HHT, HTH, THH, and HHH, making exactly 4 favorable combinations. The probability is calculated as 4 favorable outcomes divided by 8 total outcomes, resulting in 1/2.

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