1. Assuming the coin is fair, and E1 and E2 are events X on 5th toss and 6th toss of a coin respectively. What is the probabiliy of X on both 5th and 6th tosses?
2. If the probability that A will be alive in 20 years is 0.7 and B will be alive in 20 years is 0.5. What is the probability that both A and B will be alive in 20 years?
3. Suppose a box contains 3 white bails and 2 black balls. Let E1 be the event that the first ball is drawn black and E2 the event that the second ball is drawn is black. Where the balls are not replaced after being drawn, what is the probability that the second ball drawn is actually black?