Question

A deck of playing cards contains 52 cards. What is the probability of pulling out a King of Diamonds and, without replacing it, then an Ace of Spades?

a) 1/1326
b) 1/26
c) 1/52
d) 1/39

Answer 1

The probability of pulling out a King of Diamonds and then an Ace of Spades from a deck of cards without replacement is 1/2652.

Step-by-step explanation:

To find the probability of pulling out a King of Diamonds and, without replacing it, then an Ace of Spades, we need to consider the total number of possible outcomes and the number of favorable outcomes.

There is only 1 King of Diamonds in a deck of 52 cards, so the probability of pulling out a King of Diamonds is 1/52.

Since the card is not replaced, there are now 51 cards left in the deck and 1 Ace of Spades. So the probability of pulling out an Ace of Spades is 1/51.

To find the probability of both events happening, we multiply the probabilities:

P(King of Diamonds and Ace of Spades) = P(King of Diamonds) * P(Ace of Spades) = 1/52 * 1/51 = 1/2652

Therefore, the correct answer is d) 1/2652.