Probability · JEE Main previous year questions

2002 2 questions

1. Q352002 · 27 Apr 2002 · Shift 1

   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 :

   1. A.$\frac{3}{4}$
   2. B.$\frac{1}{2}$
   3. C.$\frac{2}{3}$
   4. D.$\frac{1}{3}$
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   Answer: A

2. Q362002 · 27 Apr 2002 · Shift 1

   $A$ and $B$ are events such that $P(A\cup B)=3/4,P(A\cap B)=1/4,P(\overline{A})=2/3$ then $P(\overline{A}\cap B)$ is :

   1. A.$5/12$
   2. B.$3/8$
   3. C.$5/8$
   4. D.$1/4$
   Show answer

   Answer: A