George, Richard, Paul, and John play the following game. Each man takes one of four balls numbered 1 through 4 from an urn. The man who draws ball 4 loses. The other three return their balls to the urn and draw again. Now the one who draws ball 3 loses. The other two return their balls to the urn and draw ball 3 loses. The man who draws ball 1 wins the game.
- What is the probability that John does not lose in the first two draws?
- What is the probability that Paul wins the game?
Solution
