If Regan passes his math test, the probability that he will pass the next one is 97%. If he fails his math test, the probability that he will pss the next one is only 85%

Regan has worked hard on this unit so the probability that he will pass the first test is 95%

a) Write the initial and the transition matrix

b) What's the probability that Regan will pass the fifth test?

The transition matrix would be

0.97 0.03

0.85 0.15

the initial one...