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
by
Pranshu Gaba