A card is drawn at random a well shuffled pack of 2 cards. Find the probability that the card drawn is neither a red card nor a queen.

Total number of all elementary events = 52

There are 26 red cards (including 2 queens) and apart from these, there are 2 more queens.


Number of cards, each one of which is either a red card or a queen = 26 + 2 = 28


Let E be the event that the card drawn is neither a red card nor a queen.


Then, the number of favourable outcomes = (52 – 28) = 24


P (getting neither a red card nor a queen) = P (E) = 24/52 = 6/13


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