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Glencoe Algebra 2

PT: Tree Diagrams, Conditional probability

RW: Tennis

19- year old Venus Williams learned to play tennis at a public park in Compton, California.  She now competes in professional tennis tournaments all around the world.  On each point in tennis, a player is allowed two serves.  Suppose while playing tennis, Venus gets her first serve in, about 75% of the time.  When she gets her first serve in, she wins the point about 80% of the time.  If she misses her first serve, her second serve goes in about 90% of the time.  When this happens, she wins the point on her second serve about 35% of the time.

a) Draw a tree diagram that represents all possible situations.

b) Find the probability that Venus wins a point when she is serving.

c) If you know she won a point while serving, what is the probability that she made her first serve?

Key to Problem Bank:

 M: Misconception PT: Probability Topic RW: Real World Topic