Final answer:
The probability of drawing a diamond from a standard deck of cards is 1/4 or option A, which is derived by dividing the number of diamond cards by the total number of cards in the deck.
Step-by-step explanation:
The probability of drawing a diamond from a standard deck of cards, P(Diamonds), would be 1/4 or option A. This is because there are four suits in a standard deck of cards: hearts, clubs, spades, and diamonds. Each suit has an equal number of cards, making up 1/4 of the deck. A standard deck has 52 cards in total, divided into 4 suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards.
The probability of drawing a card from any particular suit is the ratio of the number of cards in the suit to the total number of cards in the deck:
- Total number of cards in a suit (diamonds): 13
- Total number of cards in the deck: 52
- Probability of drawing a diamond (P(Diamonds)): 13/52 or 1/4
This probability can also be expressed as 13/52, which simplifies to 1/4, confirming that option A is the correct answer.