Question

Meeta and Reeta are two sisters one is in class VI, the other is in Class VII, The number of students in class VI is $25$ and in class VII is $30$. Find the probability that both of them get the first position in their respective classes.

Answer 1

$A\to$ Meeta got $1^{st}$ in a class of $25$ students

$\text{Probability}$ $=\frac{\text{No. of Outcomes}}{\text{Total Outcomes}}$

$\text{P(A)}$ $=\frac{1}{25}$

$B\to$ Reeta got $1^{st}$ in a class of $30$ students

$\text{P(B)}$ $=\frac{1}{30}$

$\text{P(both got first position)}=P\left(A\right)\times P\left(B\right)$

$=\frac{1}{25}\times \frac{1}{30}=\frac{1}{750}$

Therefore, the probability of both of them getting the first position in their respective classes is $\frac{1}{750}$.