Quantitative Reasoning

Probability

Medium

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:

4/13

6/13

7/13

15/26

✅ Correct Option: 3

Total cards in a deck = 52

Red cards include all hearts and diamonds:

Hearts = 13 cards

Diamonds = 13 cards

Total red cards = 26

Note: This includes the Ace of Hearts and Ace of Diamonds.

Black aces need to be added separately:

Ace of Spades = 1 card

Ace of Clubs = 1 card

Total black aces = 2

Total favorable cards = Red cards + Black aces

$= 26 + 2$

$= 28$

Probability = $\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$= \dfrac{28}{52}$

$= \dfrac{7}{13}$

Therefore, the probability is $\dfrac{7}{13}$ .

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

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:

Solution

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