2 cards are drawn at random from a well shuffled pack of 52 cards. Both the cards turn out to be red. Find the probability that both the cards have different numbers on them. (Assume that Ace, Jack, Queen & King are not considered as numbered cards.)
Explanation:
Total possible outcomes when both cards are red = 26C2 = 325.
Now, there are 18 red number cards available.
∴ Desired outcomes for both the cards to have different numbers = 18C2 – 9 = 153 – 9 = 144
[out of total 18C2 ways of selecting number cards 9 ways will give us same number on both cards.]
∴ Required probability = 144/325
Hence, option (c).
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