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anonymous
 4 years ago
A fair coin is flipped four times. What is the probability of getting heads at least once?
anonymous
 4 years ago
A fair coin is flipped four times. What is the probability of getting heads at least once?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0didn't we just do this?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh you are right, 4 times. sorry

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0we can list them or we can use a formula. your choice

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0at least once means 1 or 2 or 3 or 4, so not 0 the probability you get zero heads is \[(\frac{1}{2})^4\]so the probability you get at least one head is \[1(\frac{1}{2})^4\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The sample space of the experiment is hhhh hhht hhtt httt hhth hthh htth htht thhh tthh ttth thth thht tttt thtt ttth so the number of times of getting heads at least once is 15 out of 16. But there is a better way. If you know that the probability of getting a heads at least once is mutually exclusive of getting all tails then P[heads at least once] = 1  P[all tails] = 1  1/16 = 15/16

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0of course zero heads mean all tails, i.e. you got t t t t
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