Suppose A and B are two events with `P(A) = 0.5 and `P(AuuB)=0.8LetP(B)=p` if A and B are mutually exclusive and P(B)=q if A and B are independent events, then value of q/p is ____.

Answer

2

Explanation

When A and B are mutually exclusive, `P(AnnB)=0`
`thereforeP(AuuB)=P(A)+P(B)" "(1)`
`implies 0.8 =0.5+5`
`or p=0.3" "(2)`
`P(AuuB)=P(A)+P(B)=P(A)+P(B)-P(AuuB)=P(A)+P(B)-P(A)P(B)`
`or 0.8=0.5+q-(0.5)q`
`or 0.3=q//2`
`or q//p=2`