Question

A bag contains 100 tickets bearing numbers 1-100. A ticked is taken out randomly, find the probability of getting a ticket bearing a number which is the multiple of 25.

• A. $0.5$
• B. $0.04$
• C. $1.0$
• D. $0.05$

Answer 1

Answer: (B)

$0.04$

Given that a bag contains $100$ tickets having numbers from $1$ to $100$.

To find out: The probability of getting a ticket having a number which is a multiple of $25$.

Hence, total number of tickets, $n\left(S\right)=100$

Numbers from $1$ to $100$ which are multiples of $25$:

$25,50,75,100$

Hence, total number of favourable outcomes, $n\left(E\right)=4$.

We know that, probability $=\frac{n\left(E\right)}{n\left(S\right)}$

$\therefore$ The probability of getting a ticket having a number which is a multiple of $25=\frac{4}{100}$

$=0.04$

Hence, the required probability is $0.04$.