Question

X = (X1, X2) describes a completely random choice from S := {(a1, a2) : a1,...

X = (X1, X2) describes a completely random choice from S := {(a1, a2) : a1, a2 ∈ {1, 2, . . . , 32}, a1 ̸= a2 }.
Calculate:
a) P(X1 ∈ {1, ..., 8})
b) P(X2 ∈ {1, ..., 8})
c) You draw the top and second from the top card of a deck of cards (32 cards, 8 in each suit) that has previously been perfectly shuffled. What is the probability second card you draw is a spade?
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