Q. $A\ and\ B$ play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial, is
A) $\frac{1}{25}$
B) $\frac{24}{25}$
C) $\frac{2}{25}$
D) None of these
Explanation
(b)
The number of ways in which either player can choose a number from 1 to 25 is 25, so the total number of ways a choosing numbers is $25 \times 25 = 625$. So, the probability that they will not win a prize in a single trial
$= 1 - \frac{1}{25} = \frac{24}{25}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.