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?
Answer & explanation
Correct answer: option 3
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.