Question

A standard deck of playing cards contains 52 cards, equally divided among four suits (hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a king, and an ace.

If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a king?

Answer 1

So one card is out, therefore there are 51 left in the deck. Out of those there are 12 spades and 4 kings but one of it is the king of spades. So the probability is 12+3 out of 51, 15/51=5/17

Answer 2

Question:

A standard deck of playing cards contains 52 cards, equally divided among four suits (hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a king, and an ace.  

If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a king?

Answer:

5/17

Step-by-step explanation:

After the 3 of spades is drawn, 51 cards remain in the deck. Of those cards, 12 are spades and 4 are kings. However, one of the spades is also a king (the king of spades). Since the king of spades is counted twice if the number of spades and the number of kings is added together, the number of cards remaining that are either a spade or a king is 12 + 4 – 1 = 15. Therefore, the probability that the next card drawn is a spade or a king is  15/51 = 5/17

I had this test so I'm absolutely positive that this is the correct answer!

Good Luck! ~LILZ