Question

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card nor a queen.

Answer 1

Total number of all possible outcomes= 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`