*14. The federal government tries to boost small business activities by awarding annual grants for projects. AIL bids are competitive, but the chance of receiving a grant is highest if the owner has not received any during the last three years and lowest jf awards were given in each of the last three years. Specifically, the probability of getting a grant if none were awarded in the last three years is .9. It reduces to .8 if one grant was awarded,.7 if two grants were awarded, and only .5 if 3 were received.

(a) Express the situation as a Markov chain.