JEE Math Practice Question
Consider $$5$$ independent Bernoulli's trials each with probability of success $$p.$$ If the probability of at least one failure is greater than or equal to $${{31} \over 32},$$ then $$p$$ lies in the interval :
- A.$$\left( {{3 \over 4},{{11} \over {12}}} \right]$$
- B.$$\left[ {0,{1 \over 2}} \right]$$
- C.$$\left( {{11 \over 12},1} \right]$$
- D.$$\left( {{1 \over 2},{{3} \over {4}}} \right]$$
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