Question 9 of 27intermediate🔧 ApplyShort Answer3 marks
For the following experiments write down the sample space S.
(i)
Rolling a die and tossing a coin together.
Answer
S = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
(ii)
Choosing a random integer between – 5 and + 5.
Answer
S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
(iii)
A box containing 5 green and 7 red balls. One ball is drawn at random.
Answer
S = {Green, Red}
Explanation
The textbook defines a sample space as the list of all possible outcomes of a random experiment. For (i), we combine the outcomes of a coin toss {H, T} with a die roll {1, 2, 3, 4, 5, 6}. For (ii), we list all possible integers in the given range. For (iii), similar to the 'Picking Fruit' example in the text where the sample space lists the types of fruit, the sample space here lists the types (colors) of balls.