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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 \( P(i \geq j) \)?

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

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

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`2^{34}`

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`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

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

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