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BITSAT 2020 Paper

Section: Mathematics

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Question : 126 of 150

Marks: +1, -0

The probability that certain electronic component fails when first used is

0.10 .

If it does not fail immediately, the probability that it lasts for one year is

0.99 .

The probability that a new component will last for one year is

0.99
0.871
0.891
0.762

Solution:

Probability that the electronic component fails when first used is

P(F)=0.10 .

Therefore,

P(F')=1-P(F)=0.90

Let

E

be the event that a new component will last for one year.

Then,

P(E)=P(F) \frac{E}{F}+P(F') \frac{E}{F'}

[total probability theorem]

= 0.10\times 0 + 0.90\times 0.99 = 0.891 .

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