Question

Boris the rat is trying to find food in the maze shown below. Boris is equally likely to take any path when coming to an intersection. If the food is stored in area A, what is the probability that Boris finds food? Show all of your calculations!

Answer 1

Probability to reach A by Boris =
`(4)/(9)`

Explanation:

Figure with this question is not attached; find the diagram in the picture attached.

If Boris is trying to reach the food stored in area A, number of ways from junction X = 3

Probability of choosing one way =
`(1)/(3)`

Similarly, from junction Y there are 3 more options to reach the food.

Probability to reach A from junction Y =
`(1)/(3)* (1)/(3)=(1)/(9)`

Therefore, probability to reach the food stored in A

= Probability to reach A from junction X + Probability to reach A from junction Y

=
`(1)/(3)+(1)/(9)`

=
`(4)/(9)`