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JEE Main & Advanced Sample Paper JEE Main Sample Paper-34

  • question_answer
     Two aero planes I and II bomb a target in succession. The probabilities of I and II scoring hit correctly are \[\frac{3}{10}\] and \[\frac{1}{5}\] respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is

    A)  \[\frac{43}{50}\]                             

    B)  \[\frac{7}{50}\]

    C)  \[\frac{15}{22}\]                             

    D)   \[\frac{7}{22}\]

    Correct Answer: D

    Solution :

    Probability \[=\left( \frac{7}{10}\times \frac{2}{10} \right)+\left( \frac{7}{10}\times \frac{8}{10}\times \frac{7}{10}\times \frac{2}{10} \right)\] \[+\left( \frac{7}{10}\times \frac{8}{10}\times \frac{7}{10}\times \frac{8}{10}\times \frac{7}{10}\times \frac{2}{10} \right)+..........\infty \] \[=\frac{7}{22}\]


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