Question

Please explain the process

Use the diagram below to answer the question that follows. mouse is equally likely to choose any of the forward paths. Which of the following is closest to the probability that the mouse will exit the maze at C ? A. 0.3 B. 0.5 C. 0.6 D. 0.9 biit thes the mouea will exit the maze at C is the sum of the probabilitios of

Answer 1

There are 3 ways to exit the maze at c

I have shown ways in above figure using different coluors.( green, red, blue )

P( To choose green path ) = 1/3 * 1/3 = 1/9

P( To choose red path ) = 1/3

P( To choose blue path ) = 1/3*1/2 = 1/3

So,

P( mouse will exit the maze at C ) =

=P( To choose green path ) + P( To choose red path ) + P( To choose blue path )

=1/9 + 1/3 + 1/6

= 11/18

= 0.61111

$\approx 0.6$