Question:
The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:
The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:
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Use the formula: \( P(A \cup B) = P(A) + P(B) - P(A \cap B) \).
Updated On: Apr 2, 2025
- \( \frac{1}{52} \)
- \( \frac{2}{13} \)
- \( \frac{4}{13} \)
- \( \frac{1}{13} \)
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The Correct Option is C
Solution and Explanation
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: \[ \frac{16}{52} = \frac{4}{13} \]
- 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: \[ \frac{16}{52} = \frac{4}{13} \]
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