There are two ways of moving from point X to point Y and two ways of moving from point Y to point Z. If each way is blockaded with the probabilty p, the events of them being blockaded are mutually independant, what is the probabililty one can move from point X to Z? possible options:

7. A student has three routes of getting to his school: A, B, and C. Each day he picks one, and his choice is influenced only by his previous day choice: – if he takes route A today, then he will take route A, B, or C next day with respective 1 1 probabilities, 244 - if he takes route B today, then he will take route A, B, or C next day with respective 1 probabilities, 0, 2 - if he takes route C today, then he will take route A, B, or C next day with respective 1 probabilities 3'4'12' (a) Formulate this as a Markov chain by defining its states and giving its (one-step) transition matrix. (b) Find the n-step transition matrix P(n)=2 and 20. (c) If he takes route A today, what is the probability that he will take route A in 2 the day after tomorrow? (d) The probability that he takes route A today is 0.4. Use the results from part (b) to determine the probability that he will take route B 20 days from now. i=0 (a) Use equations лP = π, Σ²0¹₁ = 1 to find the steady state probabilities. Are…

If P(A A. B. C. D. B) = 0 A and B are P(A) + P(B) = 1 independent events. A and B are mutually exclusive events. either P(A) = 0 or P(B) = 0.

Suppose there is a 3-stage experiment that are pairwise independent (i.e. they’re all independent from eachother). If stage one has 5 outcomes stage two has 6 outcomes and stage three has 2 possible outcomes, howmany outcomes does the experiment itself have?