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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: . Two numbers are selected at Random (without replacement) from the first six pos
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magaishwarya (136)

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.   Two numbers are selected at Random (without replacement) from the first six positive integers.  Let X denotes the larger of the two numbers obtained.  Find E(X) . 
    

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arpan1 (670)

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X can take values from 2 to 6

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feynmann (2472)

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Total no of pairs = 6c2 = 15
 
now no of cases s.t . X= 1 is 0
 
X=2   is  1
X=3 is 2
X=4 is 3
X=5 is 4
X=6 is 5
 
so , E( X ) =1/15 { 2.1 + 3.2 + 4.3 + 5.4 + 6.5}  = 14/3
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