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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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