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NCERT Exemplar Solutions Class 10 Mathematics Solutions for Statistics and Probability - Exercise 13.3 in Chapter 13 - Statistics and Probability

Question 56 Statistics and Probability - Exercise 13.3

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 probability that it is acceptable to Varnika?

Answer:

Total number of mobile phones = T(E) = 48

Trader buys a phone which has no major defect.

No. of phones with major defect = 3

Phones which do not have major defects = 48 – 3 = 45

F(E) = 45

\mathrm{P}(\mathrm{E})=\frac{\mathrm{F}(\mathrm{E})}{\mathrm{T}(\mathrm{E})}=\frac{45}{48}=\frac{15}{16}

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