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A die is rolled and showing any number is directly proportional to that number. If prime number appears then a ball is chosen from urn A containing 2 white and 3 block balls otherwise a ball is chosen from urn B containing 3 white and 2 block balls then. Q. If white ball is draw then the probability that it is from urn BA. `(52)/(53)`B. `(1)/(53)`C. `(20)/(53)`D. `(33)/(53)` |
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Answer» Correct Answer - D `P(i)alphai` `P(i)=Ki` `P(1)=K,P(2)=2K,…P(6)=6K` `K+2K+….+6K=1` `K(1+2+…+6)=1` `K=(1)/(21)` `P(1)=(1)/(21).P(2)=(2)/(21),….P(6)=(6)/(21)` P (prime number) `=(2)/(21)+(3)/(21)+(5)/(21)=(10)/(21)` P (not prime) `=(11)/(21)` ltbr `P(B)=(10)/(21)+(3)/(4)+(11)/(21)xx(2)/(5)=(52)/(105)` `P(w)=(10)/(21)xx(2)/(5)+(11)/(21)xx(3)/(5)=(53)/(105)` `P((urnB)/(w))=((33)/(105))/((53)/(105))=(33)/(53)` |
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