GATE CSE 2014 Set 3 | Probability Question 31 | Discrete Mathematics

GATE CSE 2014 Set 3

Numerical

-0

Let S be a sample space and two mutually exclusive events A and B be such that $$A\, \cup \,B = \,S$$. If P(.) denotes the probability of the event, the maximum value of P(A) P(B) is ________________.

Your input ____

GATE CSE 2014 Set 1

Numerical

-0

Four fair six-sided dice are rolled. The probability that the sum of the results being 22 is X/1296. The value of X is__________

Your input ____

GATE CSE 2012

MCQ (Single Correct Answer)

-0.6

Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2 or 3 the die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6?

10/21

5/12

2/3

1/6

GATE CSE 2011

MCQ (Single Correct Answer)

-0.6

Consider a finite sequence of random values $$X = \left\{ {{x_1},{x_2},{x_3}, - - - - - {x_n}} \right\}..$$ Let $${\mu _x}$$ be the mean and $${\sigma _x}$$ be the standard deviation of $$X.$$ Let another finite sequence $$Y$$ of equal length be derived from this $${y_i} = a.{x_i} + b,$$ where $$a$$ and $$b$$ are positive constants. Let $${\mu _y}$$ be the mean and $${\sigma _y}$$ be the standard deviation of this sequence. Which one of the following statements is incorrect?

Index position of mode of $$X$$ in $$X$$ is the same as the index position of mode of $$Y$$ in $$Y$$.

Index position of median of $$X$$ in $$X$$ is the same as the index position of median of $$Y$$ in $$Y.$$

$${\mu _y} = a{\mu _x} + b$$

$${\sigma _y} = a{\sigma _x} + b$$

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