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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. $1$ phone is selected at random from the lot. Then from the following choices, the probability that it is acceptable to Varnika is:

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1516

78

1615

67

answer is B.

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Detailed Solution

It is given that, the total number of phones is

48

.
Out of which

42

are good,

3

have only minor defects and

3

have major defects.
Varnika will buy the phone which is good.

The number of phones that are good is,

42

n (A) = 42

P (A) = N u m b e r of favourable outcomes T o t a l number of outcomes

= 4248

= 78

Hence, the probability is

78

.
Hence, option 2) is correct.

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