GATE CSE 2004 | Probability Question 69 | Discrete Mathematics

GATE CSE 2004

MCQ (Single Correct Answer)

-0.3

In a population of N families, 50% of the families have three children, 30% of the families have two children and the remaining families have one child. What is the probability that a randomly picked child belongs to a family with two children ?

$$\,{3 \over {23}}$$

$$\,{6 \over {23}}$$

$$\,{3 \over {10}}$$

$$\,{3 \over {5}}$$

GATE CSE 2003

MCQ (Single Correct Answer)

-0.3

Let P(E) denote the probability of the event E. Given P(A) = 1, P(B) = $${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$, the values of $$P\,(A\,\left| {B) \,} \right.$$ and $$P\,(B\,\left| {A) \,} \right.$$ respectively are

$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 4$}},\,{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$

$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}},\,{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 4$}}$$

$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}},\,1$$

$$1,\,\,{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$

GATE CSE 1999

MCQ (Single Correct Answer)

-0.3

Suppose that the expectation of a random variable X is 5. Which of the following statements is true?

There is a sample point at which X has the value 5.

There is a sample point at which X has the value greater than 5.

There is a sample point at which X has a value greater than or equal to 5.

None of the above.

GATE CSE 1999

MCQ (Single Correct Answer)