Suppose I have an urn with 9 balls 4 green 3 yellow and 2 wh
Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.
a) Suppose I draw n times. Let Xn be the number of times I saw a green ball followed by a yellow ball. Calculate the expectation E[Xn].
b) Let Y be the number of times I drew a green ball before the first white draw. Calculate EY . Can you give an intuitive explanation for your answer?
Solution
