A small gym owns 162 towels: red (R), blue striped (S), red with blue stripes (R ∩ S), and white (W).
• The probability a towel is red given that it has blue stripes is 20/29 : Pr(R ∩ S |S ) = 20/29
• You are 2/3 as likely to get a white towel as you are to get a red towel with
no stripes: Pr(R \ S) = 2/3Pr(W)
(a) How many white towels are there?
(b) What is the probability of getting a striped towel?
I have no idea how to start this problem, I feel as if there isn't enough information given. If anybody could help me in any way that would be extremely helpful, thank you.