A maze with following pattern is given. An insect has to reach point R.It can on

Discussion Forum : Probability I

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.

Options:

A .

\frac{1}{4}

B .

\frac{2}{3}

C .

\frac{2}{7}

D .

\frac{1}{6}

Answer: Option A
:
A

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)= $\frac{1}{6} \times 1 + \frac{1}{6} \times \frac{1}{2} = \frac{1}{4}$

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