Multiple choice

Six unbiased coins are tossed once. The probability of obtaining atleast one head is

  1. $\displaystyle \frac{58}{64}$
  2. $\displaystyle\frac{63}{64}$
  3. $\displaystyle\frac{60}{64}$
  4. $\displaystyle\frac{61}{64}$
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B Correct answer
Explanation

Probability of at least one head = 1 - P(no heads). P(no heads) = (1/2)^6 = 1/64. Result = 1 - 1/64 = 63/64.

AI explanation

Using the complementary event method, the probability of getting at least one head is 1 minus the probability of getting zero heads. The only outcome with zero heads is getting all six tails, which has a probability of (1/2)^6 or 1/64. Therefore, the required probability is 1 - 1/64 = 63/64.

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