1
GATE CSE 1999
+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?
A
$$\Pr \,\left[ {{E_1}\,\,or\,\,{E_2}} \right]$$ is 2/3
B
Events $${{E_1}}$$ and $${{E_2}}$$ are independent
C
Events $${{E_1}}$$ and $${{E_2}}$$ are not independent
D
$$\Pr \,\left[ {{E_1}\,/\,{E_2}} \right] = 4/5$$
2
GATE CSE 1996
+2
-0.6
The probability that the top and bottom cards of a randomly shuffled deck are both access is
A
$${4 \over {52}}\, \times \,{4 \over {52}}\,$$
B
$${4 \over {52}}\, \times \,{3 \over {52}}\,$$
C
$${4 \over {52}}\, \times \,{3 \over {51}}\,$$
D
$${4 \over {52}}\, \times \,{4 \over {51}}\,$$
3
GATE CSE 1995
+2
-0.6
A bag contains 10 white balls and 15 black balls. Two balls drawn in succession. The probability that one of them is black the other is white is
A
2/3
B
4/5
C
$${\raise0.5ex\hbox{1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}$$
D
1/3
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
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