Probability of Coin Tosses

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The probability is that a certain coin will yield heads on any given toss. If the coin is tossed five times, what is the probability that at least one of the tosses will yield heads?

Review: Probability of Coin Tosses


Explanation

This question asks for the probability that at least one of five tosses is heads. There are a lot of ways for that to happen, but only one way for it not to happen, which is that all five tosses are tails. So we'll find the probability of that. We want the probability of five tails in a row. That will be . We multiply, not add, because we are calculating the probability of a chain of events, not that we get one of a bunch of options. Another way to look at it is that we are talking about getting a tails and another tails and so on, and "and" usually means multiplication in probability. Anyway, . That's all tails. So the odds that anything except that happens are .

The correct answer is (D).


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