JEE Mains · Maths · STD 11 - 14. probability
If two different numbers are taken from the set \(\left\{ {0,1,2,3, \ldots ,10} \right\}\), then the probability that their sum as well as absolute difference are both multiple of \(4\), is
- A \(\frac{7}{{55}}\)
- B \(\frac{6}{{55}}\)
- C \(\frac{{12}}{{55}}\)
- D \(\frac{{14}}{{55}}\)
Answer & Solution
Correct Answer
(B) \(\frac{6}{{55}}\)
Step-by-step Solution
Detailed explanation
Let \(A \equiv \{ 0,1,2,3,4, \ldots ..,10\} \) \({\rm{n}}({\rm{S}}) = {\,^{11}}{{\rm{C}}_2} = 55\) where \('S'\) denotes sample space Let \(\mathrm{E}\) be the given event \(\therefore {\rm{E}} \equiv \{ (0,4),(0,8),(2,6),(2,10),(4,8),(6,10)\} \)…
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