probability of picking red ball

Question

A bin contains two red balls and one white ball. The probability of picking the balls is equally likely.  Two balls are taken without replacement. What is the probability of getting two red balls.

Answer 1

total outcome  among 3 balls to choose 2 balls ³C_2.

desire outcome  among 2 red balls to choose 2 balls ²C_2..

probability 1/3 . (if you one after another then also the probability is going to be same , ²C₁¹C1/ ³C₁²C₁