imo class 12 probability

A quality inspector in an Indian bulb factory checks 10 bulbs. The probability of any bulb being defective is 10%. The probability that exactly 0 bulbs are defective is:

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A quality inspector in an Indian bulb factory checks 10 bulbs. The probability of any bulb being defective is 10%. The probability that exactly 0 bulbs are defective is:

  • A. 0.9¹⁰
  • B. 0.1¹⁰
  • C. 1 − 0.9¹⁰
  • D. 1 − 0.1¹⁰

Answer: A) 0.9¹⁰

Explanation: n=10, p=0.1 (defective), q=0.9 (non-defective). P(X=0) = ¹⁰C₀ (0.1)⁰ (0.9)¹⁰ = 0.9¹⁰.

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