The probability for a contractor to get a road contract is 2/3 and to get a building contract is 5/9. The probability to get atleast one contract is 4/5. The probability to get both the contracts is

R=Road contract   B= Building contractP(R) =23, P(B) =59,  P(R∪B)= 45 P(R∩B)= P(R) + P(B) −  P(R∪B)                    =   23+59− 45                     = 30+25−3645                     =1945   The probability to get both the contracts is 1945