JEE Advanced 2013 Paper 2 Offline | Probability Question 38 | Mathematics

JEE Advanced 2013 Paper 2 Offline

MCQ (Single Correct Answer)

-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

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

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

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

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

JEE Advanced 2013 Paper 1 Offline

MCQ (Single Correct Answer)

-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

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

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

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

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

IIT-JEE 2012 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Four fair dice $${D_1,}$$ $${D_2,}$$ $${D_3}$$ and $${D_4}$$ ; each having six faces numbered $$1, 2, 3, 4, 5$$ and $$6$$ are rolled simultaneously. The probability that $${D_4}$$ shows a number appearing on one of $${D_1},$$ $${D_2}$$ and $${D_3}$$ is

$${{91} \over {216}}$$

$${{108} \over {216}}$$

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

$${{127} \over {216}}$$

IIT-JEE 2011 Paper 1 Offline

MCQ (Single Correct Answer)

-1

Let $${U_1}$$ and $${U_2}$$ be two urns such that $${U_1}$$ contains $$3$$ white and $$2$$ red balls, and $${U_2}$$ contains only $$1$$ white ball. A fair coin is tossed. If head appears then $$1$$ ball is drawn at random from $${U_1}$$ and put into $${U_2}$$. However, if tail appears then $$2$$ balls are drawn at random from $${U_1}$$ and put into $${U_2}$$. Now $$1$$ ball is drawn at random from $${U_2}$$ being white is

The probability of the drawn ball from $${U_2}$$ being white is

$${{13} \over {30}}$$

$${{23} \over {30}}$$

$${{19} \over {30}}$$

$${{11} \over {30}}$$

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