List the sample space in the random experiment of rolling a die and tossing a coin simultaneously.' I

Write the sample space for the following random experiments: (i) A one rupee coin and a five rupee coin are tossed simultaneously

Write the sample space for the following random experiments: (iii) Two dice are rolled together.

List the outcomes you see in these experiments. Tossing two coins together

Three coins are tossed together. In this random experiment, find (iii) two events A and B which are not mutually exclusive.

Three coins are tossed together. In this random experiment, find (i) two mutually exclusive events A and B

Which of the following arguments are correct and which are not correct? Give reasons for your answer (i) If two coins are tossed simultaneousIy there are three possible outcomes-two heads, two tails or one of each. Therefore,for each of these outcomes,the probability is 1/3.

A game consists of tossing a one rupee coin. 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

Out of the six faces of a die, three are marked with the number 2,two are marked with the number 1 and one is marked with the number 3.The die is tossed once. Find in how many ways the following events may occur : (i) the event of getting the number 1

Two coins are tossed simultaneously. The probability of getting at most one head is—