To find the probability that a single card drawn randomly from the deck is a "King" or a "Spade", we can add the probabilities of drawing a King and drawing a Spade separately and then subtract the probability of drawing a King that is also a Spade.
The probability of drawing a King is 4/52.
The probability of drawing a Spade is 13/52.
The probability of drawing a King that is also a Spade is 1/52 (since there is only 1 King of Spades in the deck).
Therefore, the probability of drawing a "King" or a "Spade" is (4/52) + (13/52) - (1/52) = 16/52 or 4/13.
A standard deck contains 52 cards with 4 suits (spades, hearts, diamonds, and clubs) with 13 different denominations (A, K, Q, J, 10, 9, …, 2).
1. What is the probability that a single card drawn randomly from the deck is a “King” ?
The probability that a single card drawn randomly from the deck is a "King" is 4/52 or 1/13. This is because there are 4 Kings in a deck of 52 cards, so the probability is the number of favorable outcomes (4) divided by the total number of possible outcomes (52).
2. What is the probability that a single card drawn randomly from the deck is not a “King” ?
The probability that a single card drawn randomly from the deck is not a "King" is 1 - (4/52) or 48/52. This is because there are 48 cards that are not Kings in a deck of 52 cards, so the probability is 1 minus the probability of drawing a King.
3. What is the probability that a single card drawn randomly from the deck is a “Spade” ?
The probability that a single card drawn randomly from the deck is a "Spade" is 13/52 or 1/4. This is because there are 13 Spades in a deck of 52 cards, so the probability is the number of favorable outcomes (13) divided by the total number of possible outcomes (52).
4. What is the probability that a single card drawn randomly from the deck is not a “Spade” ?
The probability that a single card drawn randomly from the deck is not a "Spade" is 1 - (13/52) or 39/52. This is because there are 39 cards that are not Spades in a deck of 52 cards, so the probability is 1 minus the probability of drawing a Spade.
5. What is the probability that a single card drawn randomly from the deck is a “King” or a “Spade” ?
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