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Mathematics, 13.12.2019 17:31 smp32

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 e[y ]. can you give an intuitive explanation for your answer?

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