Question

ASSIGNMENT-2
1. There are 2 white marbles in box A and 3 red marbles in box B. At each step of the process a marble is
selected from each box and the two marbles selected are interchanged. Let the state a, of the system be
the number ! of red marbles in box A
a) Find the transition martrix P
b) What is the probability that there are 2 red Marbles in box A after 3 steps
c) In the long run, what is the probability that there are 2 red marbles in box A.​

Answer 1

Answer:

HOPE IT'S HELPFUL FOR

Total balls are = 3 Red and2 White marbles = 5 balls

Case when two white marble is drawn = 2 White and 1 Red marbles 

WWR;WRW;RWW

Probability that one Red marble is drawn = 3×(5C12C1)×(5C12C1)×(5C13C1)=12536