I've been trying to solve this question, any help would be much appreciated!
There are three coins. 2 coins are fair, the other has two tails. A random coin from this pile is chosen and tossed, it lands heads. This is done two more times without replacement.
What is the conditional probability that the third toss will land heads?
If X is a random variable which counts the number of heads total over the three tosses (assuming each coin is tossed exactly once) what is the expected value E(X)?
what is the variance of X?
I believe each coin is tossed only once.