The probability that a card drawn from a pack of 52 cards will be a red card or an ace (including the chance of any red ace), is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 7/13
Let’s calculate step by step.
- Total cards = 52
- Red cards (hearts + diamonds) = 26
- Aces = 4
- Red aces (hearts + diamonds) = 2
Using the formula:
$P(\text{Red card or Ace}) = \frac{\text{Red cards} + \text{Aces} - \text{Red aces}}{52}$
$= \frac{26 + 4 - 2}{52} = \frac{28}{52} = \frac{7}{13}$