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Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head? Correct Answer 2<sup>9</sup>

When a coin is tossed once, there are two outcomes. It can turn up a head or a tail.When 10 coins are tossed simultaneously, the total number of outcomes = 210Out of these, if the third coin has to turn up a head, then the number of possibilities for the third coin is only 1 as the outcome is fixed as head.Therefore, the remaining 9 coins can turn up either a head or a tail = 29

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