Search any question & find its solution
Question:
Answered & Verified by Expert
Paragraph:
There are $n$ urns each containing $(n+1)$ balls such that the ith urn contains $i$ white balls and $(n+1-i)$ red balls. Let $u_i$ be the event of selecting ith urn, $i=1,2,3, \ldots, n$ and $W$ denotes the event of getting a white balls.Question:
If $P\left(u_i\right) \propto i$, where $i=1,2,3, \ldots, n$, then $\lim _{n \rightarrow \infty} P(W)$ is equal to
Options:
There are $n$ urns each containing $(n+1)$ balls such that the ith urn contains $i$ white balls and $(n+1-i)$ red balls. Let $u_i$ be the event of selecting ith urn, $i=1,2,3, \ldots, n$ and $W$ denotes the event of getting a white balls.Question:
If $P\left(u_i\right) \propto i$, where $i=1,2,3, \ldots, n$, then $\lim _{n \rightarrow \infty} P(W)$ is equal to
Solution:
2149 Upvotes
Verified Answer
The correct answer is:
$\frac{2}{3}$
$\frac{2}{3}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.