Multiple choice

A coin is tossed 4 times. The probability that at least one head turns up is

  1. $\cfrac{1}{16}$
  2. $\cfrac{2}{16}$
  3. $\cfrac{14}{16}$
  4. $\cfrac{15}{16}$
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D Correct answer
Explanation

Total outcomes for 4 tosses = 2^4 = 16. The only case with no heads is TTTT (1 outcome). Probability of at least one head = 1 - P(no heads) = 1 - 1/16 = 15/16.

AI explanation

Using the complementary event rule, the probability of getting at least one head equals one minus the probability of getting no heads. When a coin is tossed 4 times, the probability of getting all tails is (1/2)^4, which equals 1/16. Therefore, the probability of getting at least one head is 1 - 1/16 = 15/16.

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