CBSE Class 12-science Answered
probability question.
Asked by | 27 May, 2008, 09:22: PM
Expert Answer
total no. ways of selecting two no.s = 30 ( to select first no. we have 6 options and to select second no. we have 5 options)
P(X=1) =0 (since any no. which is choosen with 1 will be the largest)
P(X=2) =2*1/30 ( when 1 is selected with 2 )
P(X=3) =2*2/30 ( when 1 or 2 is selected with 3 )
P(X=4) =2*3/30 ( when 1 or 2 or 3 is selected with 4 )
P(X=5)=2*4/30 ( when 1 or 2 or 3 or 4 is selected with 5 )
P(X=6) =2*5/30 ( when 1 or 2 or 3 or 4 or 5 is selected with 6 )
here all probabilities are multiplied by 2 because if (1,2) is a valid pair then (2,1) will also be valid
E(X) = summation of (x*P(x) )
=(4+12+24+40+60)/30 = 140/30 = 4.67
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