In a city there are three stores each having 20 pieces of an item. The stories I, II and III have 10% , 20% and 30% defective items respectively. A costumer first choosen a store randomly and then selects an item randomly from the store. what is probability that the selected item is defective and comes form store I, store II and store III.
Answers
Given : The stores I, II and III have 10% , 20% and 30% defective items respectively. A costumer first chosen a store randomly and then selects an item randomly from the store.
To find : probability that the selected item is defective and comes form store I, store II and store III.
Solution:
Probability of choosing a store = 1/3
defective items in store I = (10/100)20 = 2
defective items in store II = (20/100)20 = 4
defective items in store III = (30/100)20 =6
Probability that Defective item comes from store 1 = (1/3)(2/20)
= 1/30
Probability that Defective item comes from store II = (1/3)(4/20)
= 1/15
Probability that Defective item comes from store III = (1/3)(6/20)
= 1/10
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