Question

One card is drawn at random from a well shuffled deck of $52$ cards. What is the probability of getting an ace?

• A. $\frac{4}{13}$
• B. $\frac{3}{13}$
  
• C. $\frac{2}{13}$
  
• D. $\frac{1}{13}$
  

Answer 1

Answer: (D)

$\frac{1}{13}$

In a playing card there are $52$ cards.

Therefore the total number of possible

outcomes $=52$

There are $4$ of aces.

Number of favorable outcomes is $4$ out of $52$ cards.

Therefore, probability of getting an ace is,

$P\left(A\right)=\frac{Numberoffavorableoutcomes}{Totalnumberofpossibleoutcome}$

$=\frac{{}_1^4\text{C}}{{}_1^{52}\text{C}}=\frac{4}{52}=\frac{1}{13}$