CUET UG 2025 — General Test Quantitative Reasoning

Total cards in a deck = 52

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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.

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Black aces need to be added separately:

Ace of Spades = 1 card

Ace of Clubs = 1 card

Total black aces = 2

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Total favorable cards = Red cards + Black aces

$$= 26 + 2$$=26+2

$$= 28$$=28

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

$$= \dfrac{28}{52}$$=5228​

$$= \dfrac{7}{13}$$=137​

Therefore, the probability is $\dfrac{7}{13}$137​.