Two students Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. Find the

Options

A. 0.15
B. 0.14
C. 0.12
D. 0.11

Answer

D

Explanation

Let A and B be the events
`=P(A cap overset(_)B)+P(B cap overset(_)A)`
`=P(A)-(A cap B)+P(B)=P(A cap B)`
`=P(A)+P(B)-2P(A cap B)`
`=0.05-01-2(0.02)`
`=0.15-0.04=0.11`
Hence the probability that only one of them will qualify the examination is 0.11