A dice is tossed $$5$$ times. Getting an odd number is considered a success. Then the variance of distribution of success is :

A problem in mathematics is given to three students $$A,B,C$$ and their respective probability of solving the problem is $${1 \over 2},{1 \over 3}$$ and $${1 \over 4}.$$ Probability that the problem is solved is :

A plane which passes through the point $$(3,2,0)$$ and the line

$${{x - 4} \over 1} = {{y - 7} \over 5} = {{z - 4} \over 4}$$ is :

If $$\left| {\overrightarrow a } \right| = 4,\left| {\overrightarrow b } \right| = 2$$ and the angle between $${\overrightarrow a }$$ and $${\overrightarrow b }$$ is $$\pi /6$$ then $${\left( {\overrightarrow a \times \overrightarrow b } \right)^2}$$ is equal to :