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Engineering Entrance Exams

Tow numbers are selected randomly from the first fifteen natural numbers.If the sum of the numbers selected is even,find the probability that both numbers are even?

Profile image of LINTA AJUMON
16 Years agoGrade
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1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear LINTA

sum of the selected number will be even is both are enen or both are odd.

we have   1,3,5,7,9,11,13,15   odd number

              2,4,6,8,10,12,14     even number


 2 even number can be selected = 7C2 

2 odd number can be selected = 8C2


so probability = 7C2/(7C2 + 8C2 )

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