An urn has balls of 3 colors: Red, Blue, Yellow. There are an equal number of balls of each color. You start drawing balls from the urn with replacement, stopping when you draw a red ball. What is the expected number of blue balls drawn when the process stops?
I know that the expected number of non-red balls drawn in this case will be 1/p where p is the probability of success i.e. probability of drawing a red ball which is 1/3 in this case, so the expected number of non-red balls is 3. But is it correct to say that the expected number of blue balls in this case is 1/2 of 3 i.e. 1.5 since the non-red balls are equally likely to be blue or yellow?