Two friends A and B apply for a job in the same company. The probabilities of A getting selected is 2 5 and that of B is 4 7 . Then the probability, that one of them is selected, is

Step-by-step solution

P ( ~A )= 2 5 , P ( ~B )= 4 7 Required probability aligned & = P ( ~A ~B ^ )+ P ( ~A ^ B ) & = P ( ~A ) P ( ~B ^ )+ P ( ~A ^ ) P ( ~B ) aligned aligned & = 2 5 (1- 4 7 )+ (1- 2 5 ) ( 4 7 ) & = ( 2 5 ) ( 3 7 )+ ( 3 5 ) ( 4 7 ) & = 18 35 aligned