An urn contains six balls, three marked WIN and three marked LOSE. You and another player take turns selecting a ball from the urn, one at a time. The first person to select the third(last) WIN b...
Problem 3: An urn contains 17 balls marked LOSE and 3 balls marked WIN. You and an opponent take turns selecting a single ball at random from the urn without replacement. The person who selects the third WIN ball wins the game. It does not matter who selected the first two WIN balls. (c) If you draw first, what is the probability that you win? Hint: You could win on your second, third, fourth, . . . , or tenth...
1.4-15. An urn contains 10 red and 10 white balls. The balls are drawn from the urn at random, one at a time. Find the probabilities that the fourth white ball is the fourth, fifth, sixth, or seventh ball drawn if the sampling is done (a) With replacement. (b) Without replacement. (c) In the World Series, the American League (red) and National League (white) teams play until one team wins four games. Do you think that the urn model pre-...