JEE Advanced 2020 Mathematics question
The probability that a missile hits a target successfully is 0.75. In order to destroy the target completely, at least three successful hits are required. Then the minimum number of missiles that have to be fired so that the probability of completely destroying the target is **NOT** less than 0.95, is
Answer: 6
Solution
Let missiles be fired; the number of hits is binomial with , . We need , i.e. , where . For :
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