Question

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

Answer 1

n(S) = 52.

Event = {getting neither a red card nor a queen}
∴ There are 26 red cards and 2 more queens are there.

Number of cards each one of which is either a red card or a queen = 28.

The event that the card drawn is neither a red card nor a queen = 52 - 28 = 24. 

n(E) = 24
n(S) = 52
P(E) = ?

∴ P(E) = `"n(E)"/"n(S)" = 24/52 = 6/13.`