Multiple choice

Suppose six coins are flipped. Then the probability of getting at least one tail is:

  1. $\dfrac {71}{72}$
  2. $\dfrac {53}{54}$
  3. $\dfrac {63}{64}$
  4. $\dfrac {1}{12}$
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C Correct answer
Explanation

The probability of getting at least one tail is 1 minus the probability of getting all heads. With 6 coins, the probability of all heads is (1/2)^6 = 1/64. Thus, 1 - 1/64 = 63/64.

AI explanation

The probability of getting at least one tail is the complement of getting all heads. The probability of getting six heads is (1/2)^6, which equals 1/64. By the complementary event probability formula, the required probability is 1 minus 1/64, resulting in 63/64. The answer is 63/64.

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