Two cards are drawn from a standard deck of cards. Find the probability that a king or a red card is drawn?(4/52)*(26/52)
104/2704
answer 0.038
No. You figured the probability of a King and a red being drawn.
30/52?
To find the probability that a king or a red card is drawn, we need to determine the number of favorable outcomes (i.e., the number of ways to draw a king or a red card) and divide it by the total number of possible outcomes.
Step 1: Determine the number of favorable outcomes.
- There are 4 kings in a standard deck of cards (one king per suit: hearts, diamonds, clubs, and spades).
- There are 26 red cards in a standard deck (13 hearts + 13 diamonds).
- However, we need to subtract the number of red kings since we already counted them in the previous step. There are 2 red kings (hearts and diamonds) included in the 4 kings.
- Therefore, the number of favorable outcomes is 4 (kings) + 26 (red cards) - 2 (red kings) = 28.
Step 2: Determine the total number of possible outcomes.
- In a standard deck, there are 52 cards.
Step 3: Calculate the probability.
- Divide the number of favorable outcomes (28) by the total number of possible outcomes (52) to get the probability.
- 28/52 = 0.538 ≈ 0.038 (rounded to three decimal places).
Therefore, the probability that a king or a red card is drawn is approximately 0.038 or 3.8%.