What is the statistical probability of flipping a coin and having it land on heads five consecutive times
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What is the statistical probability of flipping a coin and having it land on heads five consecutive times

[From: ] [author: ] [Date: 11-09-15] [Hit: ]
and each consecutive time.every time you flip a coin its independent from the last time you flipped it.the fact that it landed on heads the past 4 times doesnt make it any less likely to happen again-1/32 as Dutch said (1/2)^5.But in reality,......
1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32 chance

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Assuming this is a fair coin, so P{heads will come out of a single coin flip} = 0.5
So, probability that you will get heads five consecutive times is
= P(heads on first flip) * P(heads on second flip) * ... * P(heads on fifth flip)
= 0.5 x 0.5 x 0.5 x 0.5 x 0.5
= 0.5^5

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50% each time. and each consecutive time. every time you flip a coin its independent from the last time you flipped it. the fact that it landed on heads the past 4 times doesnt make it any less likely to happen again

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1/32 as Dutch said (1/2)^5.

But in reality, the odds of coming up heads is not exactly 50% (But I am sure your course assumes no bias to the coin or flip :)

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1/32

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2^5 ---- 1 chance in 32
1
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