Question

Samantha makes a maze for her pet gerbil. At one point in the maze, the path splits

and the gerbil has an equally likely chance to choose either the left branch or the
right branch. Samantha places her gerbil in the maze 10 times in a row and records
the number of times the gerbil chooses the left branch.

Outcome/Tally
Gerbil chooses left branch = 7 Tallys

Part A
What is the experimental probability that the gerbil will choose the left branch of
the maze on the next trial?

Part B
What is the theoretical probability that the gerbil will choose the left branch of the
maze on the next trial?

Part C
Does the experimental probability equal the theoretical probability? Explain.​

Answer 1

Part A: 7/10

Part B: 1/2

Part C: look below*

Explanation:

Part A:

The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times

Part B:

Theoretically the gerbil has a 1/2 of going either left or right since there are two options.

Part C:

The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.