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Card Dealing Let two cards be dealt successively without replacement from a standard 52 card deck Find the prob ability of each event 47 spade dealt second given a spade dealt first 48 club dealt second given a diamond dealt first 49 two face cards 50 no face cards 51 The first card is a jack and the second is a face card 52 The first card is the ace of hearts and the second is black 53 The first card is black and the second is red 54 Proof of Formulas Given events A and within the sam ple space S the following sequence of steps establishes formulas that can be used to compute conditional prob abilities Justify each statement a P A and B P A P BA D PA and 8 b Therefore P BA e Therefore J BA 1 1 and 2 ST