1.

if `E_(1)` and `E_(2)` are two events such that `P(E_(1))=(1)/(4),P((E_(2))/(E_(1)))=(1)/(2)` and `P=((E_(1))/(E_(2)))=(1)/(4)`A. then `E_(1)` ad `E_(2)` are independentB. `E_(1)` and `E_(2)` are exhaustiveC. `E_(2)` is twice as likely to occur as `E_(1)`D. probabilities of the events `E_(1)capE_(2),E_(1)` and `E_(2)` are in G.P.

Answer» Correct Answer - A::C::D
`P(E_(1))=(1)/(4)`
`P_((E_(2))/(E_(1)))=(P(E_(1)capE_(2)))/(P(E_(1)))=(1)/(2)`
`P(E_(1)capE_(2))=(1)/(8)`
`P((E_(1))/(E_(2)))=(P(E_(1)capE_(2)))/(P_(E_(2)))=(1)/(4)`
`P(E_(2))=(1)/(2)`
`P_(E_(1)).P_(E_(2))=P(E_(1)capE_(2))`


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