Question 40(ii)
A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defects, 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 the trader?

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Solution

Given, the total number of mobile phones
n(S)=48

Let $E_{2}$ =Event that trader will buy only when it has no major defects
= Trader will buy only 45 mobiles
$∴ n (E_{2}) = 45 ∴ P (E_{2}) = \frac{n (E_{2})}{n (S)} = \frac{45}{48} = \frac{15}{16}$

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Given, the total number of mobile phones n(S)=48 Let E2 =Event that trader will buy only when it has no major defects = Trader will buy only 45 mobiles ∴n(E2)=45∴P(E2)=n(E2)n(S)=4548=1516

Given, the total number of mobile phones
n(S)=48

Let $E_{2}$ =Event that trader will buy only when it has no major defects
= Trader will buy only 45 mobiles
$∴ n (E_{2}) = 45 ∴ P (E_{2}) = \frac{n (E_{2})}{n (S)} = \frac{45}{48} = \frac{15}{16}$