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Mathematics 16 Online
OpenStudy (anonymous):

You flip 10 fair coins. Amazingly, the first 9 flips all come up heads. What is the probability that the final flip will be a head too?

OpenStudy (amistre64):

10 C 10 .5^10 * .5^0

OpenStudy (luffingsails):

The probability in this case is not conditional on what happened before. Therefore, the probability of heads is still 1/2.

OpenStudy (anonymous):

50%, of course! It was completely chance that heads was flipped nine times in a row.

OpenStudy (amistre64):

i spose it depends on how you decipher the question :)

OpenStudy (amistre64):

What is the probability of getting 10 heads in a row? thats binomial Whats the chance that given 9 heads you get another? 1/2

OpenStudy (luffingsails):

This would be exactly the same in the case of a die roll. Previous rolls have no impact on the next roll.

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