As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
1) A(n) 4 of Spade s?
2) A Diamond or Heart?
3) A number smaller than 7 (counting the ace as a 1)?
To find the probability of selecting a specific card from a deck, we need to determine the number of favorable outcomes (getting the specific card) and divide it by the total possible outcomes (total number of cards in the deck).
1) Probability of getting a 4 of Spades:
There is only one 4 of Spades in the deck, so the number of favorable outcomes is 1. The total number of cards in the deck is 52. Therefore, the probability of getting a 4 of Spades is:
1/52
2) Probability of getting a Diamond or Heart:
There are 13 Diamonds and 13 Hearts in the deck. So, the number of favorable outcomes is 13+13=26. The total number of cards in the deck is still 52. Therefore, the probability of getting a Diamond or Heart is:
26/52 = 1/2
3) Probability of getting a number smaller than 7:
There are 4 copies of each number (2-6) in the deck, making the total number of favorable outcomes equal to 4*6 = 24. The total number of cards in the deck remains 52. Therefore, the probability of getting a number smaller than 7 is:
24/52 = 6/13
1) 4/52
2) 1/2
3) 6/52 = 3/26