The event "tossing a coin untill the head comes up for first time" has _______ sample space. [1 Mark]

In throwing a die, events "A:getting odd" and "B:getting even", are _______ events. [1 Mark]

$\mathrm{P}\left(\mathrm{A}\right)-\mathrm{P}(\mathrm{A}\cap \mathrm{B})=$ _______. [1 Mark]

What is Probability of 53 sundays in a non-leap year? [2 Marks]

If $\mathrm{P}(\mathrm{A}\cap \mathrm{B})=\mathrm{P}\left(\mathrm{A}\right)·\mathrm{P}\left(\mathrm{B}\right), \mathrm{P}(\mathrm{B}\cap \mathrm{C})=\mathrm{P}\left(\mathrm{B}\right)·\mathrm{P}\left(\mathrm{C}\right)$ and $\mathrm{P}(\mathrm{C}\cap \mathrm{A})=\mathrm{P}\left(\mathrm{C}\right)·\mathrm{P}\left(\mathrm{A}\right)$ , then $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are said to be ________. [1 Mark]

If ${\mathrm{B}}_1$ and ${\mathrm{B}}_2$ are two mutually exclusive and exhaustive events and $\mathrm{P}\left({\mathrm{B}}_1\right), \mathrm{P}\left({\mathrm{B}}_2\right)\ne 0$ , then for any event $\mathrm{A}$ ________. [1 Mark]

If "c" is a constant then $\mathrm{V}\left(\mathrm{cx}\right)=$ _______. [1 Mark]

For an experiment "a coin is tossed twice", let X denotes numer of head in 1st trial and Y denotes number of head in second trial. Then the range space of two dimesional random variable (X , Y) is _______. [2 Marks]

"Tossing a coin which has both side head" is not _______.

Two unbiased dice are thrown. Then the event "total of numbers on dice is 13" = _______.