# probabilities in statistics

let two cards be dealt sucessively, without replacement, from a standard 52-card deck. find the probability of each event.
a) club dealt second, given a diamond dealt first.
b) the first card is the ace of hearts and the second is black

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1. (a) Given a diamond dealt first (without replacement)
There are 51 cards left, so 13 clubs from a deck of 51 cards:
P(C|D)=13/51.

(b) Ace of hearts followed by a black card.
P(A∪B)=1/52*26/51=1/102

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