In: Statistics and Probability
You are tossing a coin and it has a probability of p to show heads on any given toss. You keep on tossing the coin until you see a heads. Let X represent the number of tosses until you see a heads.
1. Find the probability that X is odd.
2. Find the probability that X is even, DO NOT USE QUESTION
1.
3. Let's say the coin is balanced, what is the probability that X
is odd? Is this contrary to intuition?