Question:
From a well shuffled pack of cards (52), what is the probability the card drawn is a diamond, spade or a club?
From a well shuffled pack of cards (52), what is the probability the card drawn is a diamond, spade or a club?
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Drawing 3 out of 4 suits is simply $3/4$ of the deck.
Updated On: Jun 26, 2026
- 0.25
- 0.75
- 0.83
- 0.29
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Probability of mutually exclusive events in a deck of cards.
Step 2: Analysis
A deck has 4 suits: Hearts, Diamonds, Spades, and Clubs (13 cards each).
Total favorable cards = 13 (Diamond) + 13 (Spade) + 13 (Club) = 39.
Step 3: Calculation
Probability = $\frac{39}{52} = \frac{3}{4} = 0.75$.
Step 4: Conclusion
The probability is 0.75. Final Answer: (B)
Probability of mutually exclusive events in a deck of cards.
Step 2: Analysis
A deck has 4 suits: Hearts, Diamonds, Spades, and Clubs (13 cards each).
Total favorable cards = 13 (Diamond) + 13 (Spade) + 13 (Club) = 39.
Step 3: Calculation
Probability = $\frac{39}{52} = \frac{3}{4} = 0.75$.
Step 4: Conclusion
The probability is 0.75. Final Answer: (B)
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