What is the probability that it is acceptable to the trader 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 the trader.
Favourable outcome = phone acceptable to the trader.
Phone acceptable to the trader = phone which is good + phone which has no major defects
Number of favourable outcome = 42 + 3 = 45
Number of possible outcomes = 48
Probability = number of favourable outcomes / number of possible outcomes
Probability = 45/48
= 15/16
Therefore, the probability of selecting a phone acceptable to the trader is 15/16.
✦ 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 Sujatha?
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14
NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 40(ii)
What is the probability that it is acceptable to the trader 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 the trader is 15/16
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