Multiple choice

In four independent tosses of an unbiased coin, what is the probability of getting at least one head?

  1. 1/4

  2. 3/4

  3. 15/16

  4. 11/16

  5. 3/16
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let S be the sample space, i.e. possible outcomes of four independent tosses of an unbiased coin. Then, n(S) = 2 x 2 x 2 x 2 = 16 Out of these 16 outcomes, there is only one possible outcome where one gets all the four tails. In all the remaining (16 - 1 = 15) cases, there will be at least one head. Therefore, Required probability = 15/16

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