Question 40(i)
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 Varnika?

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Solution

Let $E_{1}$ = Event that Varnika will buy a mobile phone
= Varnika buy only, if it is good mobile
$∴ n (E_{1}) = 42 ∴ P (E_{1}) = \frac{n (E_{1})}{n (S)} = \frac{42}{48} = \frac{7}{8}$

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Q. 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?

Q. 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?

A warehouse contains

10, 000

mobiles. out of which

7800

are good,

1600

have a small defect and rest have a major defect. Niki, a trader, will accept only those mobile which are good but Ritu, another trader, will only reject those mobile which have major defects. One mobile is drawn at random

What is the probability that it is acceptable to Ritu?

Q. 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 Sujata, 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
(i) It is acceptable to Jimmy?
(ii) It is acceptable to Sujata.

A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader accepts shirts only which are good. But, Sujatha, another trader will reject shirts which have only major defects. One shirt is drawn randomly. Find the probability that the shirt selected is (i) Acceptable to Jimmy (ii) Acceptable to Sujatha

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Let E1 = Event that Varnika will buy a mobile phone = Varnika buy only, if it is good mobile ∴n(E1)=42∴P(E1)=n(E1)n(S)=4248=78

Let $E_{1}$ = Event that Varnika will buy a mobile phone
= Varnika buy only, if it is good mobile
$∴ n (E_{1}) = 42 ∴ P (E_{1}) = \frac{n (E_{1})}{n (S)} = \frac{42}{48} = \frac{7}{8}$