What is the probability that you receive two cards

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Reference no: EM132401538

a) You receive three playing cards (from a pack of 52). What is the probability that you receive two cards of the same rank? Remember that there are 13 ranks (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king) and four suits (clubs, spades, hearts and tiles) in a card game.

b) Let Z=aX+bY where X and Y are two discrete random variables while a and b are two constants. Using the formula for the expected value of a function of two discrete random variables (found on your cheat sheet), show that the variance of Z can be written as follows:

Var(Z)=a^2Var(X)+ b^2Var(Y)+2abCov(X,Y)

Reference no: EM132401538

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