Question

From $10000$ lottery tickets numbered from $1$to $10000$ one ticket is drawn at random. What is the probability that the number marked on the drawn ticket is divisible by $20$?

• A. $\frac{1}{100}$
• B. $\frac{1}{50}$
• C. $\frac{1}{20}$
• D. $\frac{1}{10}$

Answer 1

The correct option is C

$\frac{1}{20}$

The explanation for the correct option:

Step: 1 Calculate the total number of outcomes and the number of favorable outcomes:

Here, the total number of lottery tickets is $10000$.

The drawn ticket number will be divisible by $20$ when the numbers are $\{20,40,.......,10000\}$.

Therefore, the total favorable cases are $500$.

Step: 2 Calculate the required probability:

Hence, the that the number marked on the drawn ticket is divisible by $20$ is

$=\frac{500}{10000}$ $[\because Probability=\frac{\mathrm{Favoura}blecases}{Totalcases}]$

$=\frac{1}{20}$

Therefore, Option(C) is the correct answer.