Subject Finite Mathematics Solve the problem Please show you

Subject: Finite Mathematics. Solve the problem. Please show your work/explain.

13.) A small town has only two dry cleaners. Fast & Speedy. Fast hopes to increase its market share by conducting an extensive advertising compaign. The initial market share for Fast was 40%. 60% for Speedy.

Find the probability that a customer using Fast initially will use Fast for his second batch of clothes. Use the following transition matrix: