Question

Fraz is running a science fair experiment where mice run through a maze with 4 turns. At each turn, the mouse can take a right or a left. A mouse will find an exit if they either take two rights followed by two lefts or a left followed by two rights and then a left again. Assuming that each turn is independent of all previous ones, what it the probability that a mouse will find an exit. Show how you arrived at your answer.

Answer 1

Answer:

the probability is 0.125

Step-by-step explanation:

The number of ways in which the mouse can move in the 4 turns is calculated using the rule of multiplication as:

      2           *            2             *             2             *         2           = 16

  1st turn              2nd turn               3rd turn               4th turn

Because the mouse can take two options at every turn, right or left.

Now, from the 16 possibilities of movements, a mouse will find an exit in just two options:

1. right-right-left-left

2. left-right-right-left

So, the probability that a mouse will find an exit is:

$P=\frac{2}{16}=0.125$

Because, there are 16 possibilities and a mouse will find an exit using 2 of them.