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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:
<u> 2 </u>* <u> 2 </u> * <u> 2 </u>* <u> 2 </u> = 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:
Because, there are 16 possibilities and a mouse will find an exit using 2 of them.