# 04 - Consider the following problem Two cards are drawn...

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Unformatted text preview: Consider the following problem: Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a queen, if the ﬁrst card, drawn without replacement, was a jack? Use conditional probability for dependent events since the cards are drawn without replacement. Recall that a standard deck of 52 cards has 4 queens and 4 jacks. The jack was already drawn, so that leaves us with 51 cards in the deck. Since a jack is not a queen, we are left with 4 queens in the deck. Then applying the conditional probability rules, the probability of drawing a queen, given the ﬁrst card drawn was a jack, is P( queenljack ) = g 3 0.078 4 A11 : — 3 0.078 swer 51 ...
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