GATE ECE 2016 Set 1 | Probability and Statistics Question 9 | Engineering Mathematics

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?

$$47/48$$

$$1/4$$

$$13/48$$

$$35/48$$

GATE ECE 2015 Set 2

Numerical

-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 ____

GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

-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?

$$P\left( {A \cap B} \right) = P\left( A \right)P\left( B \right)$$

$$P\left( {A/B} \right) = P\left( A \right)$$

$$P\left( {A \cup B} \right) = P\left( A \right) + P\left( B \right)$$

$$P\left( {\overrightarrow A \cap \overrightarrow B } \right) = P\left( {\overrightarrow A } \right).P\left( {\overrightarrow B } \right)$$

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GATE ECE Subjects

Signals and Systems

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics