Draft:Bpow1997-6

This week's Problem of the Week was submitted by Dr. David Quigg. Joe, Butch and Matilda have a free throw contest. Whoever makes the first free throw is the winner. Being the youngest, Joe, who only makes 40% of his baskets, gets the first shot. Butch, who makes 60% of his baskets, then shoots, followed by Matilda, who makes 70% of her baskets. If all three players miss, Joe shoots again and they continue until someone wins.

What is the probability that Joe wins the game? What is the probability that Butch wins the game? What is the probability that Matilda wins the game?

Problem by Alberto L Delgado, from the now extinct Bradley Problem of the Week.