Question

One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting a non-jack card.

• A. $\frac{12}{13}$
• B. $\frac{19}{13}$
• C. $\frac{4}{13}$
• D. $\frac{1}{13}$

Answer 1

Answer: (A)

$\frac{12}{13}$

Total number of cards in a deck $=52$

Number of Jack cards in each of four suits namely spades, hearts, diamonds and clubs $=1$

Therefore, total number of Jack cards out of $52$ cards $=4$

Thus, total number of non-Jack cards out of $52$ cards $=52-4=48$

$P$ (Getting a non-Jack card) $=$ $\frac{\text{Number of favourable outcomes}}{\text{Number of total possible outcomes}}$

$=\frac{48}{52}=\frac{12}{13}$