I am confused about expected number of cards ..
Six cards are removed from a pack (ie. 2 queens and 4 kings). The cards are shuffled and one card at a time is removed until a queen is chosen. X is the probability distribution the number of cards chosen until the first queen appears .
x 0 1 2 3 4
P(X=x) 2/6 8/30 24/120 2/15 24/360
Calculate the expected number of cards that would be need to be chosen before a queen is selected.

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is it wrong to say
E(X)= 0*(2/6) + 1*(8/30) +2*(24/120)..... and get 4/3

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