A card is picked at random from a pack of 52 playing cards

What is the probability that it is
The queen of diamonds
A black five
A nine
A black heart

The probability of picking the queen of diamonds is 1/52 since there is only one queen of diamonds in a deck of 52 cards.

The probability of picking a black five is 2/52 since there are two black fives in a deck of 52 cards (the five of spades and the five of clubs).

The probability of picking a nine is 4/52 since there are four nines in a deck of 52 cards (the nine of hearts, the nine of diamonds, the nine of clubs, and the nine of spades).

The probability of picking a black heart is 0 since there is no such card. Hearts are always red, so there is no black heart in a deck of 52 cards.