SOLUTION: Alison and Brenda play a tennis match in which the first player to win two sets wins the match. In tennis no set can be drawn. The probability that Alison wins the first set is

Algebra ->  Probability-and-statistics -> SOLUTION: Alison and Brenda play a tennis match in which the first player to win two sets wins the match. In tennis no set can be drawn. The probability that Alison wins the first set is       Log On


   



Question 1182988: Alison and Brenda play a tennis match in which the first player to win two sets wins the match.
In tennis no set can be drawn. The probability that Alison wins the first set is
3
1
. For sets after
the first, the probability that Alison wins the set is 3
5
if she won the preceding set, but is only
4
1
if she lost the preceding set. With the aid of a suitable diagram or otherwise, determine the
probability that
a) Alison wins the match given that it lasts for just two sets,
b) Alison wins the match,
c) Alison wins the match given that it goes to three sets,
d) if Alison wins the match, then she does so in two sets.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


We can only guess what the probabilities are when you show them this way.

Our first guess would be that the numbers are fractions -- 3/1, 3/5, 4/1.... But those are not valid numbers for probabilities.

Re-post your question, making the given information clear.