A coin is tossed twice and all 4 outcomes are equally likely .Let A be the event that first throw results in a head and B be the event that second throw results in a tail , then show that the events A and B are independent .

A coin is tossed thrice.Let the event E be the first throw results in a head and the event F be the last throw results in a tail.Find whether the events E and F are independent.

A coin is tossed thrice and all eight outcomes are assumed equally likely. In which of the following cases are the events A and B independent ? (i) A : "the first throw results in head" B : "the last throw results in tail" (ii) A : "the number of heads is two" B : "the last throw results in head".

A coin is tossed thrice and all the eight outcomes are assumed equally likely. In which of the following cases are the following events A and B are independent? A= the first thrown results in head, B= the last thrown results in tail A= the number of heads is odd, B= the number of tails is odd A= the number of heads is two, b= the last throw results in head

A coin is tossed thrice and all eight outcomes are equally likely.In which of the following cases are the events E and F are independent. 1.E: the number of tails is two F: the last throw results in tail 2.E:no of heads are even F:no of tails are even

A balanced coin is tossed three xx in succession.Let A denote the event of getting 'head' in the first toss and B the event of getting 'tail' in the second toss.Prove that the events A and B are independent.

A coin is tossed twice. If the second throw results in a tail then a die is thrown. Describe the sample space.

A coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event, both head and tail have appeared, and B be the event, at most one tail is observed, find P(A),\ P(B),\ P(A//B)\ a n d\ P(B//A)dot

An unbiased die thrown twice. Let the event A be 'even number on the first throw' and B the event 'even no. on the second throw'. Check the independence of the events A and B.

A fair coin and an unbiased die are tossed.Let A be the event head appears on the coin and B be the event 3 on the die.Check whether A and B are independent events or not.