Multiple choice

The probability of getting at least one head when we toss $3$ unbiased coin is

  1. $\dfrac{3}{8}$
  2. $\dfrac{5}{8}$
  3. $\dfrac{7}{8}$
  4. $\dfrac{1}{8}$
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C Correct answer
Explanation

Total outcomes for 3 coins = 2^3 = 8. Outcomes with no heads = 1 (TTT). Outcomes with at least one head = 8 - 1 = 7. Probability = 7/8.

AI explanation

Using the complement rule, the probability of getting at least one head equals one minus the probability of getting no heads. The probability of getting all tails when tossing 3 coins is (1/2)^3 = 1/8. Therefore, the probability of getting at least one head is 1 - 1/8 = 7/8.

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