Multiple choice

If three coins are tossed simultaneously, then the probability of getting at least two heads, is

  1. $\displaystyle \frac{1}{4}$
  2. $\displaystyle \frac{3}{8}$
  3. $\displaystyle \frac{1}{2}$
  4. $\displaystyle \frac{1}{6}$
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C Correct answer
Explanation

Tossing three coins yields 2^3 = 8 outcomes. Outcomes with at least two heads are HHH, HHT, HTH, THH, which is 4 outcomes. Probability = 4/8 = 1/2.

AI explanation

Tossing three coins simultaneously yields 2 cubed, or 8, total possible outcomes in the sample space. The favorable outcomes for getting at least two heads are HHT, HTH, THH, and HHH, which gives 4 favorable combinations. The probability is 4 favorable outcomes divided by 8 total outcomes, which simplifies to 1/2.

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