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What is the probability denoted by P(Diamonds)?

A) 1/4
B) 1/13
C) 1/52
D) 13/52

1 Answer

5 votes

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.

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