Question

A maze with following pattern is given. An insect has to reach point R.It can only land only on R if it lands on the adjacent cubes. What is the probability of it reaching R.

• A. $\frac{1}{4}$
• B. $\frac{2}{3}$
• C. $\frac{2}{7}$
• D. $\frac{1}{6}$

Answer 1

The correct option is A $\frac{1}{4}$

P(It lands on R)= P( S to R)+ P(Q to R)

From Q it can move in 2 directions.

P(Landing on R)= $\frac{1}{6}\times 1+\frac{1}{6}\times \frac{1}{2}=\frac{1}{4}$