Question

From a well-shuffled pack of cards, one card is drawn at random. The probability that the card is drawn is an ace is

• A. $\frac{1}{13}$
• B. $\frac{4}{13}$
• C. $\frac{3}{52}$
• D. None of these

Answer 1

The correct option is A

$\frac{1}{13}$

Explanation for the correct option:

Find the probability of getting an ace:

Let the probability of getting an ace be $P\left(A\right)$

As we know, In a deck of card there are $52$ cards.

$\Rightarrow$the total number of possible outcomes, $n\left(S\right)=52$

Also, There are 4 of aces in a deck.

$\Rightarrow$Number of favorable outcomes $n\left(A\right)=4$

$\therefore$probability of getting an ace is, $P\left(A\right)=\frac{n\left(A\right)}{n\left(S\right)}$

$=\frac{4}{52}$

$=\frac{1}{13}$

Thus, the probability of getting an ace is $\frac{\mathbf{1}}{\mathbf{13}}$

Hence, Option ‘A’ is Correct.