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A lot consists of 48 mobile phones of wh...

A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defected and 3 have major defects. Varnika will but a phone if its 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 t is
(i) accetable to Varnika?
(ii) acceptable to the trader.

Text Solution

Verified by Experts

Give total number of mobile phones n(S)=48
(i) Let `E_(1)`=Event that Varnika will buy a mobile phone
=Varnika buy only, if it is good mobile
`therefore P(E_(1))=42`
`therefore P(E_(1))=(n(E_(1)))/(n(S))=(42)/(48)=(7)/(8)`
(ii) Let `E_(2)`=Event that trader will buy only when it has no major defects
`therefore n(E_(2))=45`
`therefore P(E_(2))=(n(E_(2)))/(n(S))=(45)/(48)=(15)/(16)`
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