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What is the probability that it is acceptable to Varnika if 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

Solution:

Given, 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.

We have to find the probability of selecting a phone that is acceptable to Varnika.

What is the probability that it is acceptable to Varnika if 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

Favourable outcome = good phones

Varnika will buy only good phones.

Number of favourable outcome = 42

Number of possible outcomes = 48

Probability = number of favourable outcomes / number of possible outcomes

Probability = 42/48

= 7/8

Therefore, the probability of selecting a good phone is 7/8.

✦ Try This: A carton consists of 100 shirts of which 88 are good. 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Jimmy?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 40(i)

What is the probability that it is acceptable to Varnika if 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

Summary:

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. The probability that it is acceptable to Varnika is 7/8

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