Question

A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defects and 3 have major defects. Varnika will buy a phone if it is good but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is acceptable to Varnika?

Answer 1

Given, total number of mobile phones

n(S) = 48

Let E₁ = Event that Varnika will buy a mobile phone

= Varnika buy only, if it is good mobile

∴ n(E₁) = 42

∴ `P(E_1) = (n(E_1))/(n(S)) = 42/48 = 7/8`