A lot consists of 144 ball pens of which 20 are defective.

A lot consists of 144 ball pens of which 20 are defective and the others are good. Rohana will buy a pen if it is good, but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that :
(i) She will buy it?
(ii) She will not buy it?

Solution:

In a lot, there are 144 ball pens in which defective ball pens are = 20
and good ball pens are = 144 – 20 = 124
Rohana buys a pen which is good only.
(i) Now the number of possible outcomes = 144
and the number of favorable outcomes = 124

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 22 Probability Chapter Test Q3.1

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
(i) acceptable to Varnika?
(ii) acceptable to the trader?

Solution:

Number of total mobiles = 48
Number of good mobiles = 42
Number having minor defect = 3
Number having major defect = 3
(i) Acceptable to Varnika = 42
Probability = \\ \frac { 42 }{ 48 } = \\ \frac { 7 }{ 8 }
(ii) Acceptable to trader = 42 + 3 = 45
Probability = \\ \frac { 45 }{ 48 } = \\ \frac { 15 }{ 16 }

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