# Probability: Selection Without Replacement

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?

https://brainmass.com/math/probability/probability-selection-replacement-544874

#### 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.