Waste less time on Facebook — follow Brilliant.


Let \(A = \{1,2,3,\ldots,n \} \) and \(B = \{1,2,3,\ldots,n\} \). Random numbers \(i\) and \(j\) are chosen from the sets \(A\) and \(B\), respectively. Find the probability of \(i \geq j\). That is, what is \( P(i \geq j) \)?

Note by Aniket Sen
1 year, 2 months ago

No vote yet
1 vote


Sort by:

Top Newest

We have \[n^2\] outcomes and \[n^2+n\over 2\] are good one. So \[P(i\geq j) = {n+1\over 2n}\]

Kristijan Kocbek - 3 months, 2 weeks ago

Log in to reply


Problem Loading...

Note Loading...

Set Loading...