Question

A card is drawn at random from a standard deck of 52 playing cards. What is the probability that the card is either a king or a heart?

Answer 1

Let’s count it.

I’m assuming that you have a regular deck of cards and that means 13 hearts and 13 kings.

You can pick any card of 52 with equal probability 1/52 for each.

So there are 52 opportunities of 1/52 probability to take any card from deck.

But you are looking only for 13 of hearts and for 13 of kings. That means your chance is (13 + 13) / 52 = 1/2 :)

Answer 2

7/26

Explanation:

Note that a card cannot be both a spade and a King of hearts, so these are mutually exclusive events. Therefore, the probability of one event or the other is the sum of the probabilities. The probability of getting a spade is 13/52, because there are 13 of these. Similarly, the probability of getting a King of hearts is 1/52. Adding the probabilities, we find that