An Extremely Biased Coin - III

Probability 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.

An Extremely Biased Coin - III

This problem is part of the set Extremely Biased Coins.