ID: Class: 12 Subject: Math Topic: Probability Type: Case Study Year: 2025

Question:

A shop selling electronic items sells smartphones of only three reputed companies A, B and C because chances of their manufacturing a defective smartphone are only \(5\%, 4\%\) and \(2\%\) respectively. In his inventory he has \(25\%\) smartphones from company A, \(35\%\) smartphones from company B and \(40\%\) smartphones from company C.A person buys a smartphone from this shop.

(i) Find the probability that it was defective.

(ii) What is the probability that this defective smartphone was manufactured by company B?