Question

All the red face cards are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is

a) of red color

b) a queen

c) an ace

d) a face card

Answer 1

Total number of cards in a deck $=52$
(a) Total red face cards removed $=52–6=46$

Number of red colour cards in the remaining pack $=26–6=20$

Probability of getting of red colour $=\frac{20}{46}=\frac{10}{23}$

(b) Number of queen cards in the remaining pack $=2$

$P\left(E\right)=\frac{2}{46}=\frac{1}{23}$

(c) Number of aces in the remaining pack $=4$

$P\left(E\right)=\frac{4}{46}=\frac{2}{23}$

(d) Number of face cards in the remaining pack $=6$

$P\left(E\right)=\frac{6}{46}=\frac{3}{23}$