# Solved papers for JEE Main & Advanced AIEEE Solved Paper-2011

### done AIEEE Solved Paper-2011

• question_answer1) Consider 5 independent Bernoulli?s trials each with probability of success $\rho$. If the probability of at least one failure is greater than or equal to $\frac{31}{32}$, then $\rho$ lies in the interval.   AIEEE  Solved  Paper-2011

A) $\left( \frac{11}{12},1 \right]$

B) $\left( \frac{1}{2},\frac{3}{4} \right]$

C) $\left( \frac{3}{4},\frac{11}{12} \right]$

D) $\left[ 0,\frac{1}{2} \right]$

• question_answer2) If C and D are two events such that $C\subset D$ and $P(D)\ne 0$, then the correct statement among the following is.   AIEEE  Solved  Paper-2011

A) $P(C|D)=\frac{P(D)}{P(C)}$

B) $P(C|D)=P(C)$

C) $P(C|D)\ge P(C)$

D) $P(C|D)<P(C)$