Probability of Landing Heads on Certain Toss/Summing to 1.

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 the first heads.

1. Find the probability that X is odd.

2. Find the probability that X is even, DO NOT USE QUESTION 1.

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 the first heads.

1. Find the probability that X is odd.

2. Find the probability that X is even, DO NOT USE QUESTION 1.