Answer with explanation:
Sample size--
It is the collections of all the possible outcomes of an event.
(A)
It is given that:
Shona spins a spinner with three equal-sized spaces—red, green, and yellow and then rolls a six-sided die numbered from 1 to 6.
This means that the possible outcomes are given as follows:
(Red,1) (Green,1) (Yellow,1)
(Red,2) (Green,2) (Yellow,2)
(Red,3) (Green,3) (Yellow,3)
(Red,4) (Green,4) (Yellow,4)
(Red,5) (Green,5) (Yellow,5)
(Red,6) (Green,6) (Yellow,6)
This means that the total number of outcomes are: 18
Hence, the sample size for this compound event is: 18
(B)
If the spinner has four colored spaces.
Let the fourth color be: Blue
Then the possible outcomes are given by:
(Red,1) (Green,1) (Yellow,1) (Blue,1)
(Red,2) (Green,2) (Yellow,2) (Blue,2)
(Red,3) (Green,3) (Yellow,3) (Blue,3)
(Red,4) (Green,4) (Yellow,4) (Blue,4)
(Red,5) (Green,5) (Yellow,5) (Blue,5)
(Red,6) (Green,6) (Yellow,6) (Blue,6)
Hence, the total number of outcomes are: 24
The sample size of this compound event would be 24.