# Transcribed Image Text: If she made the last free throw, then her probability of making the next one is 0

Transcribed Image Text: If she made the last free throw, then her probability of making the next one is 0.6. On the other hand, If she missed the last free throw, then her probability of

making the next one is 0.3.

Assume that state 1 is Makes the Free Throw and that state 2 is Misses the Free Throw.

(1) Find the transition matrix for this Markov process.

P =

(2) Find the two-step transition matrix P(2) for this Markov process.

P(2) =

(3) If she makes her first free throw, what is the probability that she makes the third one?

(3) If she misses her first free throw, what is the probability that she makes the third one?

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