Question

One card is drawn from a well shuffled deck of 52 playing cards. Find the probability of getting
(i) a non-face card.
(ii) A black king or a red queen.

Answer 1

Total no. of cards $=52$

(a) No. of face cards $=12$

So, p(face card)$=\frac{12}{52}=\frac{6}{26}=\frac{3}{13}$

Thus, p(non-face card) $=1-\frac{3}{13}$

$=\frac{13-3}{13}$

$=\frac{10}{13}$

(b) No. of black kings $=2$

No. of red queen $=2$

No. of a black king and red queen $=2+2=4$

Thus, P(black king or red queen)$=\frac{4}{52}=\frac{2}{26}$

$=\frac{1}{13}$.