A research team studied the habit of people to eat Apple A B

A research team studied the habit of people to eat \"Apple\" (A), \"Banana\" (B) and \"Grape\" (G) regularly. The habits of a randomly selected individual with respect to these fruits are: P(A)=0.55, P(B)=0.60, P(G)=0.55, P(A AND B)=0.40, P(A AND G)=0.30, P(B AND G)=0.30, and P( A AND B AND G)=0.20. Find the probability that a randoml selected individual has habit of eating apple or grape but not banana. (Please include calculator instructions if applicable.)

Solution