SOLUTION: What is the probability of getting 100 heads in 100 tosses of a coin ???

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Question 836125: What is the probability of getting 100 heads in 100 tosses of a coin ???
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
For each toss the probability of heads is expected to be 1%2F2 .
The outcome of each toss is independent of the outcome of the other tosses, so the probability of getting 100 heads in 100 tosses of a coin is
%281%2F2%29%5E100=1%2F2%5E100=1%2F2%5E%2810%2A10%29=1%2F%282%5E10%29%5E10=1%2F1024%5E10 .
I really do not want to accurately calculate 1024%5E10 or 1%2F1024%5E10 .
1%2F1024%5E10 is less than 1%2F1000%5E10=1%2F%2810%5E3%29%5E10=1%2F10%5E30 ,
which could be expressed as 1 in 10%5E30 , or
1 in 1,000,000,000,000,000,000,000,000,000,000.