# Solved papers for JEE Main & Advanced AIEEE Solved Paper-2002

### done AIEEE Solved Paper-2002

• question_answer1) A problem in Mathematics is given to three students A, B, C and their respective probability of solving the problem is $\frac{1}{2},\frac{1}{3}$ and $\frac{1}{4}$. Probability that the problem is solved, is   AIEEE  Solved  Paper-2002

A) 3/4

B)           1/2

C) 2/3

D)           1/3

• question_answer2) A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial, is   AIEEE  Solved  Paper-2002

A) $\frac{1}{25}$

B)                           $\frac{24}{25}$

C) $\frac{2}{25}$

D)           None of these

• question_answer3) If A and B are two mutually exclusive events, then   AIEEE  Solved  Paper-2002

A) $P(A)<P(\overline{B})$

B)          $P(A)>P(\overline{B})$

C)           $P(A)<P(B)$

D)          None of these

• question_answer4) The probability of India winning a test match against West-Indies is $1/2$ assuming independence from match to match. The probability that in a match series India's second win occurs at the third test is

A) $1/8$

B) $1/4$

C) $1/2$

D) $2/3$

• question_answer5) A biased coin with probability $p,0<p<1$, of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even, is $2/5$, then p equals   AIEEE  Solved  Paper-2002

A) $1/3$

B)                           $2/3$

C)           $2/5$

D)           $3/5$

• question_answer6) A fair die is tossed eight times. The probability that a third six is observed on the eighth throw, is   AIEEE  Solved  Paper-2002

A) $\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{7}}}$

B) $\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{8}}}$

C) $\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{6}}}$

D)           None of these