You flip three coins. What is the probability that you get at least two tails, given that you get at least one tail?

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You flip three coins. What is the probability that you get at least two tails, given that you get at least one tail?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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sample space has 8 possible outcomes. easy to list. see how many have "at least one tail". that is your denominator. Of those, count how many have at least two tails. that is your numerator.
(h h h) (h h t) (h t h) (t h h) (h t t ) (t h t) (t t h) (t t t)
that is your entire sample space. the ones with "at least one tail" are all but the first one (h h h) so you denominator is 7

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of those 7, the last 4 have at least 2 tails, so your numerator is 4
okay thank you!

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