Sam and erica are playing a board game. they spin a pointer to determine whether to move forward or back. they call a number cube to determine how many spaces to play. what is the probability of moving forward an even number of spaces?

Answer is 1/4.

Step-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 game

F1, F2, F3, F4, F5, F6

B1, B2, B3, B4, B5, B6

There are 6 ways to move forward; only 3 of these are even numbers.

This is 3 ways out of 12 possible moves.This makes the probability

3/12.

3/12=1/4

Thus the probability of moving forward an even number of spaces

is 1/4

the first one, all those points on the line just make a strait line.