If `P(A) =0.8, P(B) = 0.9, P(A nn B) = p`, which one of the following is correct ?

Options

A. `0.72 le p le 0.8`
B. `0.7 le p le 0.8`
C. `0.72 lt p lt 0.8`
D. `0.7 lt p lt 0.8`

Answer

B

Explanation

We know,
`P(A uu B) = P(A) + P(B) - P(A nn B)`
`rArr 0.8 + 0.9 - p le 1`
`rArr 1.7 - p le 1`
`rArr 0.7 le p`
Now, `P(A) lt P(B)`
`therefore P(A nn B) le P(A)`
`rArr p le 0.8`
Hence, `0.7 le p le 0.8`