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BITSAT2024MathematicsProbabilityActual

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

Options

  1. A0.9
  2. B0.01
  3. C0.119
  4. D0.891

Correct 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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