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Question

A sample space consists of integers 1,2,3,....100. The probability of choosing an integer k is proportional to lnk. The conditional probability of choosing the integer 2, given that an even integer is chosen is


A
ln250ln2+ln50!
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B
ln2ln2+ln50!
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C
ln250ln2+ln50
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D
ln2ln2+ln50
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Solution

The correct option is A ln250ln2+ln50!
A= integer 2 is chosen
B= Even number is chosen
P(1)=λln1,P(2)=λln2,....P(n)=λln(n)
P(AB)=P(AB)P(B)=λln2λln(2.4.6....100)
=ln250ln2+ln50!

Mathematics

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