In: Statistics and Probability
We have 3 boxes. Box A contains 1 yellow ball and 2 red balls. Box B conatins 2 yellow balls and 2 red balls. Box C contains 2 yellow balls and 1 red ball. First, we randomly choose between Box A and Box B. Then we randomly choose a ball from the selected box and put the ball into Box C. Lastly, we randomly choose a ball from Box C.
Let E1 be the event that Box A is chosen first. Let E2 be the event that the first ball chosen is red. Let E3 be the event that the last ball chosen is red.
Find P(E2/E3)