JEE Main & Advanced Sample Paper JEE Main Sample Paper-19

  • question_answer In a box containing \[100\] bulbs, \[10\,\] are faulty. The probability that from a sample of \[5\] bulbs none are defective.

    A) \[{{\left( \frac{1}{10} \right)}^{5}}\]                        

    B) \[{{\left( \frac{9}{10} \right)}^{5}}\]

    C) \[\frac{9}{{{10}^{5}}}\]                                 

    D) \[\frac{1}{5}\]

    Correct Answer: B

    Solution :

     \[p=\frac{1}{10}\,\,\,\,q=\frac{9}{10}\] \[\therefore \]Probability that none are defective\[={{\left( \frac{9}{10} \right)}^{5}}\]

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