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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. If you draw first, find the probability that you win the game on your second draw



  • Define variables A and B to represent the first two balls drawn. Calculate the probability of winning the game given that A is a LOSE ball and B is a WIN ball.
  • Calculate the probability of A being a LOSE ball given that you draw a LOSE ball on your first draw.
  • Calculate the probability of B being a WIN ball given that A is a LOSE ball.