Two childern are selected at random from a group of 2 boys and 3 girls. Write down the sample space of this random experiment.

A bag contains 3 red and 2 black balls, three balls are drawn at random from this bag. Write down the sample space associatad to this random experiment of drawing 3 balls from the bag.

A coin is tossed.if the outcome of the random experiment of tossing the coin is tail , we throw an unbiased die. But if the coin shows a head. We draw a ball from a bag containing 2 white and 3 back balls. Write down the sample space associated with this random experiment.

An unbiased coin is tossed. If the outcome of the random experiment of tossing the coin is tail, we throw an unbiased die. But if the coin shows a head, we draw ball froom a bag containning 2 white and 3 black balls. Write down the sample space associated with this random experiment

Suppose 3 bilbs are selected at random from a lot. Each bulb is tested and classified as defective(N). Write the sample space for the experiment?

A ball is drawn at random from a bag containing 1 black ball and 1 green ball. If the drawn ball is black then it is replaced in the bag and again a ball is drawn from the bag. But if the first drawn ball is green, then a die is rolled .Write down the sample space associated with this random experiment.

Define two random variable X and Y on the sample space of the random experiment of rolling a balanced die

Define a random varible on the sample space of the random experiment of tossing two unbiased coins

A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.

Two letters are drawn at random from the word HOME. Write down the sample space. Now find the probability that, both the letters are vowels, at least one is a vowels, one of the letters chosen should be 'M'

Describe the following events A,B and C in the random experiment of selecting two children from a group of 2 boys and 3 girls: A: both selected children are girls B : at least one boy is selected C: selected children consists of one boy and one girl. Which pair (or, pairs ) of events is (are) mutually exclusive?