Questions: (a) Wh (b) What is the probability that the card drawn is a diamond? (c) What is the probability that the card drawn is a face card and a diamond?

Solution Steps

(a) The probability of drawing a diamond from a standard deck is calculated by dividing the number of diamond cards by the total number of cards in the deck. There are 13 diamonds in a standard deck of 52 cards.

(b) The probability of drawing a face card that is also a diamond is calculated by dividing the number of face cards that are diamonds by the total number of cards in the deck. There are 3 face cards (Jack, Queen, King) in each suit, including diamonds.

To find the probability of drawing a diamond from a standard deck, we use the formula:

\[ P(\text{Diamond}) = \frac{\text{Number of Diamonds}}{\text{Total Number of Cards}} = \frac{13}{52} = 0.25 \]

Next, we calculate the probability of drawing a face card that is also a diamond. The formula is:

\[ P(\text{Face Card and Diamond}) = \frac{\text{Number of Face Cards that are Diamonds}}{\text{Total Number of Cards}} = \frac{3}{52} \approx 0.0577 \]

Final Answer