# An Extremely Biased Coin - III

Discrete Mathematics Level 4

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

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

• Note that the case of $$100$$ tails is not to be included in the probability.
• State your answer to three significant figures.

###### This problem is part of the set - Extremely Biased Coins
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