An Extremely Biased Coin - III

Probability Level 4

You have an (extremely) biased coin that shows heads with probability 99% 99 \% and tails with probability 1% 1 \% .

If you toss it 10000=104 10000 = 10^ { 4 } times, what is the probability that less than 100 100 tails show up, to three significant figures? Make use of a normal distribution as an approximation to solve this problem.

Note: The case of 100 100 tails is not to be included in the probability.


This problem is part of the set Extremely Biased Coins.
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