Q:

Mags and Vector are playing a board game. They use a spinner to determine if they should move forward or backward. They roll a number cube with the numbers 1-6 on it to determine how many Mags and Vector are playing a board game. They use a spinner to determine if they should move forward or backward. They roll a number cube with the numbers 1-6 on it to determine how many spaces to move. What is the probability of moving backward an even number of spaces?

Accepted Solution

A:
Answer:1/4Step-by-step explanation:The sample space of an event is the list of all possible outcomes.Let F represent moving forward and B represent moving backward.  This makes the sample space for the gameF1, F2, F3, F4, F5, F6B1, B2, B3, B4, B5, B6There are 6 ways to move backward; only 3 of these are even numbers.This is 3 ways out of 12 possible moves; this makes the probability3/12 = 1/4