Question
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
BITSAT
Mathematics
Probability
2020
BITSAT 2020
BITSAT Mathematics Question (2020) — Solution
Options
- A. 0.99
- B. 0.871
- C. 0.891
- D. 0.762
Answer
C. 0.891
Step-by-step 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) P ( E F )+P (F^ ) P ( E F^ ) [total probability theorem] =0.10 0+0.90 0.99=0.891
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