Question

A box contains 100 bolt and 50 nuts. if it is given that 50% bolts and 50% nuts are rusted. two objects are selected from the box at random . find the probability that both are bolts or bolts are rusted?? pl explain step by step properly..

Answer 1

Total no. of objects = 100 + 50 =150
Percentage of rusted bolts = 50%
No. of rusted bolts = 50% of 100 = 50/100*100 = 50
Probability of getting a rusted bolt = 50/150 = 1/3
Since, to find the probability objects having the same probability, we need to multiply their probability,
Probability of getting 2 rusted bolts = 1/3*1/3 = 1/9

Hope that you understand this ^_^