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

Number of red cards including 2 red queens = 26
Number of black queens = 2
Therefore, number of red cards including 2 red queens and 2 black queens = 26 + 2 = 28
Number of cards neither a red card nor a queen = 52 - 28 = 24

$P = \frac{ Number \: of \: favourable \: outcomes}{ Total \: numer \: of \: possible \: outcomes}$

$P (neither \: a \: red \: nor \: a \: queen \: card \: ) = \frac{24}{52} = \frac{6}{13}$