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Probability: Selection Without Replacement

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Suppose that you select 3 cards without replacement from an ordinary deck of playing cards.
a) If the first card that you select is a spade and the second is a heart, what is the probability that the
third card that you select is a spade?
b) If the first card that you select is a four, what is the probability that the second card that you
select is a diamond?

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Solution Preview

Please see the attached file for the complete solution.

a) Total number of cards in an ordinary deck of playing cards = 52
Total number of spades in the deck = 13
Total number of hearts in the deck = 13

Since two cards have already been drawn from the deck without replacement, there are now 52 - 2 = 50 cards in the ...

Solution Summary

This solution calculates a set of probabilities of drawing particular cards from a standard deck.

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