JEE Advanced 2014 Paper 2 Offline | Probability Question 34 | Mathematics

1

JEE Advanced 2014 Paper 2 Offline

MCQ (Single Correct Answer)

+3

-1

Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one more than the number of girls ahead of her, is

A

$${1 \over 2}$$

B

$${1 \over 3}$$

C

$${2 \over 3}$$

D

$${3 \over 4}$$

2

JEE Advanced 2013 Paper 2 Offline

MCQ (Single Correct Answer)

+4

-1

A box $${B_1}$$ contains $$1$$ white ball, $$3$$ red balls and $$2$$ black balls. Another box $${B_2}$$ contains $$2$$ white balls, $$3$$ red balls and $$4$$ black balls. A third box $${B_3}$$ contains $$3$$ white balls, $$4$$ red balls and $$5$$ black balls.

If $$2$$ balls are drawn (without replacement) from a randomly selected box and one of the balls is white and the other ball is red, the probability that these $$2$$ balls are drawn from box $${B_2}$$ is

A

$${{116} \over {181}}$$

B

$${{126} \over {181}}$$

C

$${{65} \over {181}}$$

D

$${{55} \over {181}}$$

3

JEE Advanced 2013 Paper 2 Offline

MCQ (Single Correct Answer)

+4

-1

A box $${B_1}$$ contains $$1$$ white ball, $$3$$ red balls and $$2$$ black balls. Another box $${B_2}$$ contains $$2$$ white balls, $$3$$ red balls and $$4$$ black balls. A third box $${B_3}$$ contains $$3$$ white balls, $$4$$ red balls and $$5$$ black balls.

If $$1$$ ball is drawn from each of the boxex $${B_1},$$ $${B_2}$$ and $${B_3},$$ the probability that all $$3$$ drawn balls are of the same colour is

A

$${{82} \over {648}}$$

B

$${{90} \over {648}}$$

C

$${{558} \over {648}}$$

D

$${{566} \over {648}}$$

4

JEE Advanced 2013 Paper 1 Offline

MCQ (Single Correct Answer)

+4

-1

Four persons independently solve a certain problem correctly with probabilities $${1 \over 2},{3 \over 4},{1 \over 4},{1 \over 8}.$$ Then the probability that the problem is solved correctly by at least one of them is

A

$${{235} \over {256}}$$

B

$${{21} \over {256}}$$

C

$${{3} \over {256}}$$

D

$${{253} \over {256}}$$