# Solved papers for JEE Main & Advanced AIEEE Solved Paper-2005

### done AIEEE Solved Paper-2005

• question_answer1) Let A and B be two events such that $P\overline{(A\cup B)}=\frac{1}{6},P(A\cap B)=\frac{1}{4}$and$P(\overline{A})=\frac{1}{4},$where $\overline{A}$ stands for complement of event A. Then, events A and B are     AIEEE  Solved  Paper-2005

A) mutually exclusive and independent

B) independent but not equally likely

C) equally likely but not independent

D) equally likely and mutuaiiy exclusive

• question_answer2) Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house, is     AIEEE  Solved  Paper-2005

A) 7/9

B)        8/9

C)         1/9

D)        2/9

• question_answer3) A random variable X has Poisson distribution with mean 2. Then,$P(X>1.5)$equals     AIEEE  Solved  Paper-2005

A) $\frac{3}{{{e}^{2}}}$

B)        $1-\frac{3}{{{e}^{2}}}$

C)        0

D)        $\frac{2}{{{e}^{2}}}$

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