Question

In a lottery, there are $10$ prizes and $25$ blanks. Find the probability of getting a prize.

Answer 1

Step 1: Find the number of favourable outcomes:

The total number of outcomes will be $10+25=35$.

Thus, the number of favourable outcomes of getting a price will be $10$.

Step 2: Use the formula for probability:

$\text{Probability =}\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Thus, the probability will be,

$$\begin{gathered} \text{Probability=}\frac{10}{35} \\ \mathrm{Probability}\text{=}\frac{2}{7} \end{gathered}$$

Final answer:

Hence, the probability of getting a prize is $\frac{2}{7}$.