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When four coins are tossed simultaneously, in _______ number of the outcomes at most two of the coins will turn up as heads.

When four coins are tossed simultaneously, in _______ number of the outcomes at most two of the coins will turn up as heads. Correct Answer 11

The question requires you to find number of the outcomes in which at most 2 coins turn up as heads i.e., 0 coins turn heads or 1 coin turns head or 2 coins turn heads. The number of outcomes in which 0 coins turn heads is 4C0 = 1 outcome. The number of outcomes in which 1 coin turns head is 4C1 = 6 outcomes. The number of outcomes in which 2 coins turn heads is, 4C2 = 15 outcomes. Therefore, total number of outcomes = 1 + 4 + 6 = 11 outcomes.

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