Sample space

Describe the sample space for the indicated experiment : 2 boys and 2 girls are in Room X, and 1 boy and 3 girls in Room Y.Specify the sample space for the experiment in which a room is selected and then a person.

Assertion : Two well balanced dice are rolled and the numbers that turn up are observed. Then the number of elements in sample space is 12. Reason : When two dice are rolled, number of elements in sample space is 6 x 6

An experiment consists of rolling die until a 2 appears.(i)How many elements of the sample space correspond to the event that 2 appears on the k^(th) roll of the die? (ii)How many element of the sample space correspond to the event that 2 appears not later than the k^(th) roll of the die?

An experiment consists of recording boy-girl composition of families with 2 children.( i ) What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births? (ii) What is the sample space if we are interested in the number of girls in the family?

An experiment consists of boy –girl composition of families with 2 children. i. What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births? ii. What is the sample space if we are interested in the number of boys in a family?