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.

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