IIT-JEE 2009 Paper 1 Offline | Probability Question 49 | Mathematics

PREVIOUS NEXT

IIT-JEE 2009 Paper 1 Offline

MCQ (Single Correct Answer)

-1

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.

The conditional probability that $$X\ge6$$ given $$X>3$$ equals :

$${{125} \over {216}}$$

$${{25} \over {216}}$$

$${{5} \over {36}}$$

$${{25} \over {36}}$$

IIT-JEE 2008 Paper 2 Offline

MCQ (Single Correct Answer)

-1

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent is :

2, 4 or 8

3, 6 or 9

4 or 8

5 or 10

IIT-JEE 2008 Paper 1 Offline

MCQ (Single Correct Answer)

-1

Consider the system of equations $$ax+by=0; cx+dy=0,$$
where $$a,b,c,d$$ $$ \in \left\{ {0,1} \right\}$$

STATEMENT - 1 : The probability that the system of equations has a unique solution is $${3 \over 8}.$$ and

STATEMENT - 2 : The probability that the system of equations has a solution is $$1.$$

STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is a correct explanation for STATEMENT - 1

STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is NOT a correct explanation for STATEMENT - 1

STATEMENT - 1 is True, STATEMENT - 2 is False.

STATEMENT - 1 is False, STATEMENT - 2 is True.

IIT-JEE 2007

MCQ (Single Correct Answer)

-0.75

Let $${H_1},{H_2},....,{H_n}$$ be mutually exclusive and exhaustive events with $$P\left( {{H_1}} \right) > 0,i = 1,2,.....,n.$$ Let $$E$$ be any other event with $$0 < P\left( E \right) < 1.$$
STATEMENT-1:
$$P\left( {{H_1}|E} \right) > P\left( {E|{H_1}} \right).P\left( {{H_1}} \right)$$ for $$i=1,2,....,n$$ because

STATEMENT-2: $$\sum\limits_{i = 1}^n {P\left( {{H_i}} \right)} = 1.$$

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is False.

Statement-1 is False, Statement-2 is True

PREVIOUS NEXT

JEE Advanced Subjects