SOLUTION: Find the probability of tossing 3 tails, then 5 heads, on the first 8 tosses of a fair coin. Answer 0.007813 4 0.003906 0.125

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Question 370966: Find the probability of tossing 3 tails, then 5 heads, on the first 8 tosses of a fair coin.
Answer

0.007813

4

0.003906

0.125
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Find the probability of tossing 3 tails, then 5 heads, on the first 8 tosses of a fair coin.
There are 2 ways the first toss can come up.
There are 2*2 ways the first 2 tosses can come up.
There are 2*2*2 ways the first 3 tosses can come up.
There are 2*2*2*2 ways the first 4 tosses can come up.
There are 2*2*2*2*2 ways the first 5 tosses can come up.
There are 2*2*2*2*2*2 ways the first 6 tosses can come up.
There are 2*2*2*2*2*2*2 ways the first 7 tosses can come up.
There are 2*2*2*2*2*2*2*2 ways the first 8 tosses can come up.

This problem is talking about TTTHHHHH, which is just one way out of
2*2*2*2*2*2*2*2 or 28 or 256 ways.

Answer: 1%2F256 or .00390625

Edwin