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
2024
BITSAT 2024 (Memory Based Paper 2)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 0.9
- B. 0.01
- C. 0.119
- D. 0.891
Answer
D. 0.891
Step-by-step solution
P (The electronic component fails when first aligned & used )=P(F)=0.10 \\ & P( F )=1-P(F)=0.90 aligned 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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