Question

The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:

• A. \( \frac{1}{52} \)
• B. \( \frac{2}{13} \)
• C. \( \frac{4}{13} \)
• D. \( \frac{1}{13} \)

Hint:

Use the formula: \( P(A \cup B) = P(A) + P(B) - P(A \cap B) \).

Answer 1

The Correct Option is C

Step 1: Calculating favorable outcomes.
- There are 13 diamond cards. - There are 4 kings, but 1 king is already counted in diamonds. - Total favorable outcomes: \[ 13 + (4 - 1) = 16 \] - Probability: \[ \frac{16}{52} = \frac{4}{13} \]