Question

There are 13 cards of each suit in a deck of 52 cards (13 hearts, 13 diamonds, etc.). What is the probability of

not picking a diamond? Simplify, if possible.

Answer 1

3/4

Explanation:

1. Since we know there are 13 diamonds in the card deck containing 52 cards, we first subtract 13 from 52.

• 
  `52 - 13 = 39`

2. Now, because there's still 52 cards in total but only 39 are not diamonds, the probability of not getting a diamond card is 39/52. However, 39/52 have a common factor of 13. 39/13 = 3, and 52/13 = 4. Therefore, the simplified probability is 3/4.