The probability that atleast one of A and B occur is 0.6. If A and B occur simultaneously with probability 0.2, then find `P(overline(A))+P(overline(B))`.

Options

A. 0.4
B. 0.8
C. 1.2
D. 1.4

Answer

C

Explanation

Given , `P(A uu B)=0.6,P(A nn B)=0.2`
`:. P(barA)+P(barB)=[1-P(A)]+[1-P(B)]`
`=2-[P(A)+P(B)]`
`=2-[P(A uu B)+P(A nn B)]`
`=-[0.6+0.2]=1.2`