Question

यदि `A` और `B` दो घटनाएँ इस प्रकार है कि `P(AuuB)=(3)/(4)`, `P(AnnB)=(1)/(4)` और `P(barA)=(2)/(3)`, तो `P(B)` किसके बारबर है?
A. `1//3`
B. `2//3`
C. `1//8`
D. `2//9`

Answer 1

Correct Answer - B
दिया है ,
`P(AuuB)=(3)/(4)`, `P(AnnB)=(1)/(4)`
तथा `P(barA)=2//3`
हम जानते है कि,
`P(uuB)=P(A)+P(B)-P(AnnB)`
`implies(3)/(4)=[1-P(barA)]+P(B)-(1)/(4)`
`implies(3)/(4)+(1)/(4)=[1-(2)/(3)]+P(B)`
`implies1=(1)/(3)+P(B)impliesP(B)=1-(1)/(3)=(2)/(3)`
`impliesP(B)=(2)/(3)=P(barA)`