A coin is tossed thrice. If event E denotes the ‘number of heads is odd’ and event F denotes the ‘number of tails is odd’, then find the cases favourable to the event `E nn F`.

A coin is tossed 4 times. Let X denote the number of heads. Find the probability distribution of X, its mean and variance.

An unbiased coin is thrown thrice. If the random variable X denotes the number of heads obtained, describe the probability distribution of X .

An unbiased die is thrown twice. Let the event A be ‘odd number on the first throw’ and B the event ‘odd number on the second throw’. Check the independence of the events A and B.

A die is thrown. If E is the event ‘the number appearing is a multiple of 3’ and F be the event ‘the number appearing is even’ then find whether E and F are independent ?

Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event ‘a head shows on the first coin”. Which events are mutually exclusive?

Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event ‘a head shows on the first coin”. Which events are simple?

Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event ‘a head shows on the first coin”. Which events are Compound?

Three coins are tossed once. Let A denote the event "Three heads snow”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event 'a head shows on the first coin”. Which events are simple?

Three coins are tossed once. Let A denote the event "Three heads snow”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event 'a head shows on the first coin”. Which events are Compound?

Three coins are tossed once. Let A denote the event "three heads show", B denote the event "two heads and one tail show", C denote the event "three tails show and D denote the event "a head shows on the first coin". Which events are (i) mutually exclusive ? (ii) in simple ? (iii) compound ?