Two independent random variables $$X$$ and $$Y$$ are uniformly distributed in the interval $$\left[ { - 1,1} \right].$$ The probability that max $$\left[ {X,Y} \right]$$ is less than $$1/2$$ is

A fair dice is tossed two times. The probability that the $$2$$^nd toss results in a value that is higher than the first toss is

A fair coin is tossed $$10$$ times. What is the probability that only the first two tosses will yield heads?

If $$E$$ denotes expectation, the variance of a random variable $$X$$ is given by