Multiple choice

Three coins are tossed simultaneously. Find the probability of at least one head and one tail.

  1. $\dfrac{1}{2}$
  2. $\dfrac{1}{4}$
  3. $\dfrac{3}{4}$

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total outcomes = 2^3 = 8. Outcomes with at least one head and one tail are all except HHH and TTT. 8 - 2 = 6. Probability = 6/8 = 3/4.

AI explanation

When three coins are tossed, the total number of possible outcomes is 2^3 or 8. The outcomes featuring at least one head and one tail exclude only the all-heads (HHH) and all-tails (TTT) outcomes, leaving 6 favorable outcomes. The probability is 6/8, which simplifies to 3/4.

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