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Mathematics 21 Online
OpenStudy (anonymous):

A fair coin is flipped repeatedly until tails shows. 1) What is the probability of the game stopping on exactly the 7 th flip? 2) What is the probability of the game stopping on one of the first 8 flips?

OpenStudy (anonymous):

50 50

OpenStudy (anonymous):

you want probability of P(FFFFFFS)

OpenStudy (anonymous):

k

OpenStudy (anonymous):

this is a geometric distribution btw

OpenStudy (anonymous):

density

OpenStudy (rizags):

I think the first one is \[\large 0.5^7\]

OpenStudy (anonymous):

k

OpenStudy (rizags):

The second one would most likely then be:\[\large \sum_{n=1}^{8}0.5^n\]

OpenStudy (anonymous):

Let wolfram add em up , if you can't remember the formula. or add them manually

OpenStudy (rizags):

\[\huge 0.5+0.5^2+..+0.5^8\]

OpenStudy (anonymous):

i guess that is for the second one which .9961

OpenStudy (anonymous):

first one is .0078

OpenStudy (anonymous):

thx you so much

OpenStudy (rizags):

no prob

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