Question

In a 400 m running race, there are n competitors and they are numbered at random. Find the probability that Sujata, numbered 12, will get 6th rank in the race ?

• A. $\frac{1}{6}$
• B. $\frac{1}{n-1}$
• C. $\frac{n-1}{n}$
• D. $\frac{1}{n}$

Answer 1

The correct option is D $\frac{1}{n}$

There are $n$ competitors and Sujata is numbered $12$.

Sujata who is numbered $12$ can get any of the $1,2,\mathrm{3.....}nth$ rank.

The probability of getting each rank is same, which is equal to $\frac{1}{n}$

Therefore, the probability of getting $6^{th}$ rank in race the is $\frac{1}{n}$.

So, the correct option is $D$