Assume all outcomes are equally probable, ie. consider the uniform probability measure on the probability space.
I need to determine the following:
- How many outcomes are there in a toss of three coins?\
Let 0 denote heads and let 1 denote tails.
The probability that all coins show heads.
The probability that at least two coins show tails.
The probability that precisely one coin show tails.
What are the answers to 1-4 for a toss of $n$ coins? How big must $n$ be to ensure that the probability that at least one of the coins er greater than $95\%$?