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

Question:

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

Solution:

We know that,

Probability of occurrence of an event

$=\frac{\text { Total no.of Desired outcomes }}{\text { Total no.of outcomes }}$

Total no. of outcomes $=10+25=35$

Desired outcomes are prizes. Total no.of desired outcomes $=10$

Therefore, the probability of getting a prize $=\frac{10}{35}$

$=\frac{2}{7}$

Conclusion: Probability of getting a prize is $\frac{2}{7}$