Step-by-step explanation:
a) There are 4 Queens in a deck, so the probability the first card is a Queen is 4/52 = 1/13.
There are 4 10s in a deck, so the probability the second card is a 10 is 4/52 = 1/13.
The probability of both events is 1/13 × 1/13 = 1/169.
b) There is 1 Queen of Hearts in a deck, so the probability the first card is a Queen of Hearts is 1/52.
There are 4 8s in a deck, so the probability the second card is a 8 is 4/52 = 1/13.
The probability of both events is 1/52 × 1/13 = 1/676.
c) There are 4 Jacks in a deck, so the probability the first card is a Jack is 4/52 = 1/13.
There are 4 Jacks in a deck, so the probability the second card is a Jack is 4/52 = 1/13.
The probability of both events is 1/13 × 1/13 = 1/169.
d) There is 1 5 of Spades in a deck, so the probability the first card is a 5 of Spades is 1/52.
There is 1 Ace of Hearts in a deck, so the probability the first card is a Ace of Hearts is 1/52.
The probability of both events is 1/52 × 1/52 = 1/2704.
