Total number of bolts = 50
Total number of nuts = 50
Total number of rusted bolts = 25
Total number of rusted nuts = 25
Total no. of items = 100
Total no. rusted items = 50
E = Rushed Items , F = Bolts
P ( E ∪ F ) = P ( E ) + P ( F ) - P ( E ∩ F )
P ( E ) = ( 25/100 X 25/100 )
⇒ 1/4 X 1/4 = 1/16
P ( F ) = ( 50/100 X 50/100 ) = 1/4
P ( E ∩ F ) = ( 25/100 X 25/100 )
⇒ 1/4 X 1/4 = 1/16
P ( E ∪ F ) = 1/16 + 1/4 - 1/16
⇒ 1/4