Question 37
Victor has a drawer with 6 socks of 3 different types: 2 complex socks, 2 synthetic socks, and 2 trigonometric socks. He repeatedly draws 2 socks at a time from the drawer at random, and stops if the socks are of the same type. However, Victor is "synthetic-complex type-blind", so he also stops if he sees a synthetic and a complex sock.
What is the probability that Victor stops with 2 socks of the same type? Assume Victor returns both socks to the drawer after each step.
What is the probability that Victor stops with 2 socks of the same type? Assume Victor returns both socks to the drawer after each step.