A card is selected at random from a deck of 52 cards. Find the probability that it is a 6 or a Diamond.
Posted on January 28, 2023
- The number of diamond cards is 13, and the number of ‘6’ cards is 4
- Picking one diamond out of 13 is 13C1, and picking a ‘6’ card out of 4 is 4C1
- Picking either of those is 13C1 + 4C1 = 17
- The total number of cards is 52. And picking one from them is 52C1.
- Therefore, the probability of picking up a diamond or a 6, from a pack of cards is 17/52.