1
GATE ECE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $$1/6$$ and that of Ramesh is $$1/8$$. What is the probability that only one of them will be selected?
A
$$47/48$$
B
$$1/4$$
C
$$13/48$$
D
$$35/48$$
2
GATE ECE 2015 Set 2
Numerical
+1
-0
Let the random variable $$X$$ represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time. The expectation of $$X$$ is ________.
Your input ____
3
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Suppose $$A$$ & $$B$$ are two independent events with probabilities $$P\left( A \right) \ne 0$$ and $$P\left( B \right) \ne 0.$$ Let $$\overrightarrow A $$ & $$\overrightarrow B $$ be their complements. Which of the following statements is FALSE?
A
$$P\left( {A \cap B} \right) = P\left( A \right)P\left( B \right)$$
B
$$P\left( {A/B} \right) = P\left( A \right)$$
C
$$P\left( {A \cup B} \right) = P\left( A \right) + P\left( B \right)$$
D
$$P\left( {\overrightarrow A \cap \overrightarrow B } \right) = P\left( {\overrightarrow A } \right).P\left( {\overrightarrow B } \right)$$
4
GATE ECE 2014 Set 1
Numerical
+1
-0
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is _______.
Your input ____
GATE ECE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12