|Tree Diagram Problems|
PT: Tree Diagrams, Conditional probability
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
Key to Problem Bank: