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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?
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50 50
you want probability of P(FFFFFFS)
k
this is a geometric distribution btw
density
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I think the first one is \[\large 0.5^7\]
k
The second one would most likely then be:\[\large \sum_{n=1}^{8}0.5^n\]
Let wolfram add em up , if you can't remember the formula. or add them manually
\[\huge 0.5+0.5^2+..+0.5^8\]
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i guess that is for the second one which .9961
first one is .0078
thx you so much
no prob
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