MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

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.