Question

A card id drawn at random from a will-shuffled pack of 52 cards What is the probability that the card drawn is neither a red card nor a queen?

• A. $\frac{5}{12}$
• B. $\frac{3}{13}$
• C. $\frac{2}{11}$
• D. $\frac{6}{13}$

Answer 1

Answer: (D)

$\frac{6}{13}$

Total number of outcomes=52

13 card of 'Heart'

13 cards of 'Diamond'

2 queen cards of 'Spade and Clubs'

Number of red card and queen$=13+13+2=28$

No of favorable outcome$=52-28=24$

$\therefore$ probability of getting 'neither a red card nor a queen'

$P\left(L\right)=\frac{No.offavorableoutcomes}{Totalno.ofoutcomes}=\frac{24}{52}=\frac{4}{13}$