Question

From a well-shuffled pack of $52$ cards, Mike picks up one card at random. The probability of it being a heart is .

Answer 1

Suppose, $\text{E}$ is an event of drawing a heart card from a pack of $52$ cards.

Hence,
total number of possible outcomes= $52$
number of favorable outcomes= number of heart cards= $13$

Now,
$\text{P (E)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$\Rightarrow \text{P (E)}=\frac{13}{52}=\frac{13}{4\times 13}=\frac{1}{4}$

$\therefore$ The probability of drawing a heart card from a pack of $52$ cards is $\frac{1}{4}=0.25$.