1

GATE CSE 2000

MCQ (Single Correct Answer)

+2

-0.6

$${{E_1}}$$ and $${{E_2}}$$ are events in a probability space satisfying the following constraints:

$$ \bullet $$ $$\Pr \,\,({E_1}) = \Pr \,({E_2})$$

$$ \bullet $$ $$\Pr \,\,({E_1}\, \cup {E_2}) = 1$$

$$ \bullet $$ $${E_1}$$ & $${E_2}$$ are independent

$$ \bullet $$ $$\Pr \,\,({E_1}) = \Pr \,({E_2})$$

$$ \bullet $$ $$\Pr \,\,({E_1}\, \cup {E_2}) = 1$$

$$ \bullet $$ $${E_1}$$ & $${E_2}$$ are independent

The value of Pr ($${E_1}$$), the probability of the event $${E_1}$$, is

2

GATE CSE 1999

MCQ (Single Correct Answer)

+2

-0.6

Let X and Y be two exponentially distributed and independent random variables with mean $$\alpha $$ and $$\beta $$, respectively. If Z = min (X, Y), then the mean of Z is given by

3

GATE CSE 1999

MCQ (Single Correct Answer)

+2

-0.6

Consider two events $${{E_1}}$$ and $${{E_2}}$$ such that probability of $${{E_1}}$$, Pr [$${{E_1}}$$] = 1/2, probability of $${{E_2}}$$, Pr[$${{E_2}}$$ = 1/3, and probability of $${{E_1}}$$ and $${{E_2}}$$, $$\left[ {{E_1}\,\,or\,\,{E_2}} \right]$$ = 1/5. Which of the following statements is /are true?

4

GATE CSE 1996

MCQ (Single Correct Answer)

+2

-0.6

The probability that the top and bottom cards of a randomly shuffled deck are both access is

Questions Asked from Probability (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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