In a rummy game, 2 cards are drawn from a pack of 52 cards. What is the probability that both the cards are of red colour?

\(\frac{25}{102}\)

The number of red cards = 26 

The number of ways of selection 2 red cards out of 26 cards = ²⁶C₂

= \(\frac{26\;×\;25}{2}\) = 13 × 25

The number of ways of selection 2 cards out of 52 cards = ⁵²C₂

 = \(\frac{52\;×\;51}{2}\) = 26 × 51

The reqd. probability = \(\frac{13\;×\;25}{ 26\;×\;51}\) = \(\frac{25}{102}\)

Hence, option C is correct.