Question

A standard deck of cards contains 52 cards. There are 13 spades, 13 hearts, 13 diamonds, and 13 clubs. There are three face cards in each suit: Jack, Queen, and King. Find each of the probabilities.

a) Probability of drawing a spade: (1/4)
b) Probability of drawing a face card: (3/13)
c) Probability of drawing a heart: (1/4)
d) Probability of drawing a diamond: (1/4)

Answer 1

The probabilities of drawing a spade, a heart, or a diamond from a standard 52-card deck are each 1/4, while the probability of drawing a face card is 3/13.

Step-by-step explanation:

The question involves calculating probabilities using a standard deck of 52 cards in the context of simple events and outcomes relating to the card suits and face cards. Let's evaluate each of the probabilities you asked about:

1. Probability of drawing a spade: Since there are 13 spades in a 52-card deck, the probability is 13/52, which simplifies to 1/4.
2. Probability of drawing a face card: There are 3 face cards in each suit, making a total of 12 face cards in the deck. Thus, the probability is 12/52, which simplifies to 3/13.
3. Probability of drawing a heart: Similar to the spades, there are 13 hearts in a deck, so the probability is 13/52, simplifying to 1/4.
4. Probability of drawing a diamond: There are 13 diamonds in the deck, again corresponding to a probability of 13/52, which is 1/4.