Question 4
In the carnival game Break-A-Plate, a player throws five softballs at plates from a distance. If the player successfully breaks plates on any two consecutive throws among the five throws, the player wins a prize.
Suppose that for each throw, Charlie has a $\frac23$ chance of breaking a plate, and that all throws are independent of each other. What is the probability that Charlie wins a prize?
Suppose that for each throw, Charlie has a $\frac23$ chance of breaking a plate, and that all throws are independent of each other. What is the probability that Charlie wins a prize?