Question

One card is drawn at random from a pack of playing cards, the probability that it is an ace or black king or the queen of the heart will be:

• A. $\frac{3}{52}$
• B. $\frac{7}{52}$
• C. $\frac{6}{52}$
• D. $\frac{1}{52}$

Answer 1

Answer: (B)

$\frac{7}{52}$

$\therefore$ Required probability $=\frac{{}^4{C}_1{+}^2{C}_1{+}^1{C}_1}{{}^{52}{C}_1}$
$=\frac{4+2+1}{52}=\frac{7}{52}$