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

Given: a card is drawn at random from a well shuffled deck of 52 cards

To find: the probability of getting neither a red card nor a queen

Explanation: In a well shuffled deck of 52 cards

There are 13 + 13 = 26 red cards

And 4 queens, but out of these 2 queens are red in color

Hence the numbers of cards which are red cards, or a queen are 26 + 2 = 28 cards, so out of these 28 cards a card is drawn.

So, the probability of getting either a red card or a queen is

P (getting either a red card or a queen)

So, probability of getting neither a red card nor a queen is

1 - P (getting either a red card or a queen)

Hence the probability of getting neither a red card nor a queen is .