## Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

a. $\frac{1}{52}$ b. $\frac{1}{26}$ c.$\frac{1}{26}$ d. $\frac{1}{2}$ e. $\frac{1}{2}$
a. A 6 and a spade There are 52 cards in a deck containing only one spade 6. Because only one card is drawn, the probability of getting a 6 and a spade is $p=\frac{1}{52}$ b. A black king There are 2 black kings (spade and clubs), the probability of getting a a black king is $p=\frac{2}{52}=\frac{1}{26}$ c. A red card and a 7 There are 2 red 7's (heart and diamond), the probability of getting a a red card and a 7 is $p=\frac{2}{52}=\frac{1}{26}$ d. A diamond or a heart There are 13 diamonds and 13 hearts (26 total), the probability of getting a diamond or a hear is $p=\frac{26}{52}=\frac{1}{2}$ e. A black card There are 26 black cards in a deck, the probability of getting a black card is $p=\frac{26}{52}=\frac{1}{2}$