# A card is selected from a pack of 52 cards.Calculate the probability the card is black card

$\begin{array}{1 1}(A)\;\large\frac{1}{2}\\(B)\;\large\frac{1}{4}\\(C)\;\large\frac{1}{5}\\(D)\;\text{None of these}\end{array}$

Toolbox:
• Probability $P=\large\frac{n(E)}{n(S)}$
Step 1:
Probability the card is a black card
In a pack of 52 cards,there are 26 black cards
$\therefore n(E) =26$
Step 2:
Probability of the event getting a black card =$\large\frac{n(E)}{n(S)}$
$\Rightarrow \large\frac{26}{52}$
$\Rightarrow \large\frac{1}{2}$
Hence (A) is the correct answer.