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.The sample size for this compound event is __ . If instead of three colored spaces, the spinner has four colored spaces, the sample size would be __.A:6,12,14,18B:12,14,18,24

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: 18Hence, the sample size for this compound event is:  18(B)If the spinner has four colored spaces.Let the fourth color be: BlueThen 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:  24The sample size of this compound event would be 24.