BCS301 Module 2 | Model Question Paper 2 ( Q. 3c) | Markov Chain Problem |

Описание: Problem: BCS301 Module 2 | Model Question Paper-II | Question 3c
A gambler’s luck follows this pattern:
If he wins a game, the probability of winning the next is 0.6.
If he loses, the probability of losing the next is 0.7.
He has an even chance of winning the first game.
Find the probability of winning the second and third games, and in the long run, how often he will win.

BCS301 Module 2 | Joint Probability & Markov Chains | Model Question Paper-II | VTU Solutions:    • BCS301 Module 2 | Joint Probability & Mark...  

3️⃣ Q3(a) Joint distribution f(x,y) = (x+y)/30, x=0-3, y=0-2. Find probabilities for X at most 2 & Y=1, X more than 2 & Y at most 1, X more than Y
🎥    • BCS301 Module 2 | Model Question Paper 2 (...  

3️⃣ Q3(b) Find unique fixed probability vector for stochastic matrix A = [[0,1,0],[1/6,1/2,1/3],[0,2/3,1/3]]
🎥    • BCS301 Module 2 | Model Question Paper 2 (...  

3️⃣ Q3(c) Gambler’s win pattern. Find 2nd, 3rd game win probability & long-run probability
🎥    • BCS301 Module 2 | Model Question Paper 2 (...  

4️⃣ Q4(a) Find k so f(x,y)=k|x-y|, x=-2,0,2; y=-2,3 is valid joint distribution & covariance
🎥    • BCS301 Module 2 | Model Question Paper 2 (...  

4️⃣ Q4(b) Show matrix [[0,0,1],[1/2,0,1/2],[0,1,0]] is regular stochastic
🎥    • BCS301 Module 2 | Model Question Paper 2 (...  

4️⃣ Q4(c) Ball throw problem. Find probability C has the ball after 3 throws if A starts
🎥    • BCS301 Module 2 | Model Question Paper 2 (...  


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