Question

If a card is chosen from a standard deck of cards, what is the probability of getting a five?

• A. $\frac{4}{52}$
• B. $\frac{1}{52}$
• C. $\frac{3}{52}$
• D. $\frac{8}{52}$

Answer 1

The correct option is A $\frac{4}{52}$

A standard deck of playing cards has 52 cards in it. It is broken into 4 suits of 13 cards each.

$\Rightarrow$ Each suit has one card numbered as 5.
$\Rightarrow$ Intotal there are 4 cards having number 5 on it.
So, total number of cards = 52
Number of favourable outcomes = 4
$\text{Probability}=\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$​​
$\Rightarrow$ Probability of getting a five =$\frac{4}{52}$