SOLUTION: Kinesha and Donna are playing a tennis match where the winner must win 2 sets in order to win the match. Kinesha starts strong but tires quickly. The probability that Kinesha wins

Algebra ->  Probability-and-statistics -> SOLUTION: Kinesha and Donna are playing a tennis match where the winner must win 2 sets in order to win the match. Kinesha starts strong but tires quickly. The probability that Kinesha wins       Log On


   

Question 189265: Kinesha and Donna are playing a tennis match where the winner must win 2 sets in order to win the match. Kinesha starts strong but tires quickly. The probability that Kinesha wins the first set is 0.6. But the probability she wins the second set is only 0.5. And if a third set is needed, the probability that Kinesha wins the third set is only 0.3. Put all this information into a tree diagram to answer the following questions.
What is the probability that Kinesha wins the match?
What is the conditional probability that Kinesha wins the match if Donna wins the first set?
What is the conditional probability that Donna wins the match if Kinesha wins the first set?
What is the probability that 3 sets are played? .5

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!

:
1 .6*.5+.6*.5*.3+.4*.5*.3
:
2 .4*.5*.3
:
3 .6*.5*.7
:
4.6*.5*.3+.6*.5*.7+.4*.5*.3+.4*.5*.3