1. ## Probability with towels

A small gym owns 162 towels: red (R), blue striped (S), red with blue stripes (R ∩ S), and white (W).

If:
• 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.

2. Is this the exact wording of the question or did you put in your own notation with the R, S and W?

3. Originally Posted by Phillip
A small gym owns 162 towels: red (R), blue striped (S), red with blue stripes (R ∩ S), and white (W).

If:
• 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.
It looks like there's not enough information.