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Knowing the results in advance, there is a 7/10 chance that the first toss is heads.

In this case "seven out of ten" is quite literal. The first toss is one of the 10, and 7 of them came up heads, so 7/10 is the chance that this particular one is one of the heads.

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Michael Scalise

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Q: Toss a fair coin 10 times. If you know that at least 7 heads are tossed, what is the probability that your first toss is heads?
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