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, to three significant figures? Make use of a normal distribution as an approximation to solve this problem.

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

This problem is part of the set Extremely Biased Coins.
Pranshu Gaba by Pranshu Gaba
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