Question

. What is the probability of choosing a king card AND a diamond card on a single draw? 2. What is the probability of choosing a king card OR a diamond card on a single draw? (A standard deck of 52 cards)

A. 1/104, 15/52
B. 1/26, 11/26
C. 1/52, 13/26
D. 1/13, 7/26

Answer 1

The probability of choosing a king and a diamond card in a single draw from a standard deck is 1/52, and the probability of choosing a king or a diamond card in a single draw is 4/13.

Step-by-step explanation:

The question covers two different probabilities involving choosing cards from a standard deck. First, we will calculate the probability of drawing a king and a diamond in a single draw, and then we'll calculate the probability of drawing a king or a diamond in a single draw.

Since there is only one king of diamonds in a deck, the probability of drawing this specific card is 1 out of the total number of cards:

• Probability = 1/52 cards

There are 4 kings and 13 diamonds in a deck, but one of those diamonds is also a king. To avoid counting the king of diamonds twice, we add the probabilities and subtract the overlap:

• Probability = (4 kings + 13 diamonds - 1 overlapping card) / 52 cards
• Probability = (4 + 13 - 1) / 52
• Probability = 16/52 = 4/13 cards

The correct answers are:

1. 1/52 for drawing a king and a diamond.
2. 4/13 for drawing a king or a diamond.