You draw 2 cards from a well-shuffled deck of 52 cards. After you draw the first card, you do not replace it in the deck. The probability of drawing the ace of spades on your first draw is 1/52. What is the probability of P(get queen of hearts on second draw | get ace of spades on first draw)?
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you have 51 cards left in the deck. you know the first one is the ace of spades, so there is still one queen of hearts. therefore answer is
hope it is clear that \[P(A|B)\] means you KNOW B has occurred, so you know the first card was the ace of spades, that is why you know that there is still the queen of hearts left in the deck.