If an apple is hanging from a string and three flies land on it, find the probability that all three are on points that are within the same hemisphere.
I am lost on how to figure this out.

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- schrodinger

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- anonymous

chance of first one landing on a specific hemisphere = 1/2
same foe second and third
each of these probabilities are independent
so the probabililies are multiplied
P(3 on same hemi) = 1/2 * 1/2 * 1/2 = 1/8

- anonymous

The answer is .25 but not sure how to figure this. the answer you gave is .125

- anonymous

its a long time since i looked at probability theory so i could be wrong - i'll have to recheck

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- anonymous

ok - the answer is 0.25 because you dont include the first fly to land is not included the calculation.
if the question referred to the 'left' or 'right' hemisphere then it would be 1/8
- the first fly to land can go to any hemisphere - it does not choose any specific one - but the second and third do.
so its 1/2 * 1/2 = 0.25

- anonymous

ok with that ?

- anonymous

Awesome, thanks!!!

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