A card is drawn from a deck of 52 cards. What is the probability that it is a picture card (Jack, Queen, King) or a diamond?
To find the probability, we need to determine the number of favorable outcomes (picture cards or diamonds) and the total number of possible outcomes (all cards in the deck).
1. Number of favorable outcomes:
There are 12 picture cards in a deck (4 Jacks, 4 Queens, 4 Kings) and 13 diamond cards (Ace of diamonds, numbered cards 2 to 10, and face cards Jack, Queen, King of diamonds). So the number of favorable outcomes is 12 + 13 = 25.
2. Total number of possible outcomes:
In a deck of 52 cards, there are 4 cards of each rank and suit. So the total number of possible outcomes is 52.
3. Probability:
The probability is given by the number of favorable outcomes divided by the total number of possible outcomes. Therefore, the probability of drawing a picture card or a diamond can be calculated as:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 25 / 52
Simplifying this fraction, we get:
Probability = 25 / 52 = 0.48 (rounded to two decimal places)
So, the probability of drawing a picture card (Jack, Queen, King) or a diamond from a deck of 52 cards is approximately 0.48 or 48%.