`A a n d B` are two candidates seeking admission in ITT. The probability that `A` is selected is 0.5 and the probability that `A a n d B` are selected is at most 0.3. Is it possible that the probability of `B` getting selected is 0.9?

Explanation

Given , `P(A) =0.5 and P(A cap B ) le 0.3`
`implies P(A) +P(B) -P(A cup B) le 0.3`
`implies P(B) le 0.3+ P(A cup B ) -P(A) le P(A cup B )-0.2 " " ["since, " P(A cup B) le 1 implies P(A cup B ) -0.2 le 0.8 ]`
`:. P(B) le 0.8`
`impliesP(B)` cannot be 0.9 .