Question

If in a lottery there are $5$ prizes and $20$ blanks, then the probability of getting a prize is

• A. $\frac{1}{5}$
• B. $\frac{2}{5}$
• C. $\frac{4}{5}$
• D. None of these

Answer 1

The correct option is A

$\frac{1}{5}$

Explanation for correct answer:

Finding the probability:

Given, Number of prizes $=5$

Number of blanks in lottery $=20$

Number of tickets in lottery $=5+20=25$

Therefore, the probability of getting a prize,

$\begin{array}{rcl}\mathbf{\text{P}}\mathbf{\left(}\mathbf{E}\mathbf{\right)}& \mathbf{=}& \frac{\mathbf{\text{Number of favorable outcomes}}}{\mathit{}\mathbf{\text{Total number of possible outcomes}}}\\ & =& \frac{5}{25}\\ & =& \frac{1}{5}\end{array}$

Hence, the correct option is A