If the probability distribution function of a random variable X is given as

Then F(0) is equal to

If $$\mathrm{P}(\mathrm{A})=\frac{3}{10}, \mathrm{P}(\mathrm{B})=\frac{2}{5}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{3}{5}$$, then $$\mathrm{P}(\mathrm{A} / \mathrm{B}) \times \mathrm{P}(\mathrm{B} / \mathrm{A})=$$

The probability distribution of a discrete random variable X is

Find the value of $$\mathrm{P}(2<\mathrm{X}<6)$$

A die is thrown four times. The probability of getting perfect square in at least one throw is