Answer
a. $\frac{1}{52}$
b. $\frac{1}{26}$
c.$\frac{1}{26}$
d. $\frac{1}{2}$
e. $\frac{1}{2}$
Work Step by Step
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 $p=\frac{26}{52}=\frac{1}{2}$
