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

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: https://www.youtube.com/playlist?list=PLM9RnGtTy9_8TbVyBn68GViY2ClpU-t7y 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 🎥 https://youtu.be/-yxl0PYL-H4 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]] 🎥 https://youtu.be/z-ICOoA18e4 3️⃣ Q3(c) Gambler’s win pattern. Find 2nd, 3rd game win probability & long-run probability 🎥 https://youtu.be/THngF_sZe0M 4️⃣ Q4(a) Find k so f(x,y)=k|x-y|, x=-2,0,2; y=-2,3 is valid joint distribution & covariance 🎥 https://youtu.be/VhQGxlHjx_M 4️⃣ Q4(b) Show matrix [[0,0,1],[1/2,0,1/2],[0,1,0]] is regular stochastic 🎥 https://youtu.be/IlQ0zq3q94w 4️⃣ Q4(c) Ball throw problem. Find probability C has the ball after 3 throws if A starts 🎥 https://youtu.be/V7Wu2K4c6fs [ 📐 Watch Next ] Module 1 [BCS301] Model Question Paper 1 (Q.1a) - https://youtu.be/6UaMxpXzFKA?si=mH5jbn1dlcXwbgYW [BCS301] Model Question Paper 1 (Q.1b) - https://youtu.be/Y_M7xbVwNM8?si=ZP7CwAPpepuERfV5 [BCS301] Model Question Paper 1 (Q.1c) - https://youtu.be/mbLQ9stdjyU?si=G0qu8D0G9877bbom [BCS301] Model Question Paper 1 (Q.2a) - https://youtu.be/RsEGGAbE6hw?si=3EJcKk_k6xg7aJt4 [BCS301] Model Question Paper 1 (Q.2b) - https://youtu.be/wybmztSh9Fo?si=YCova-1uHVDHVC6l [BS301] Model Question Paper 1 (Q.2c) - https://youtu.be/be4ZGaywqQE?si=tAItelrZhb97LbZk Module 1 [BCS301] Model Question Paper 2 (Q.1a) - https://youtu.be/Ke-EEUEjyuU?si=NqeIv1-LGE15_jVu [BCS301] Model Question Paper 2 (Q.1b) - https://youtu.be/Y6OKjMF0G70?si=yuxcFsh6X-r1FmM8 [BCS301] Model Question Paper 2 (Q.1c) - https://youtu.be/iTmuyHYNzpw?si=jOfxK8jJ5J-Bb2rA [BCS301] Model Question Paper 2 (Q.2a) - https://youtu.be/cS_LLk16phY?si=_HIjmKy2hlL6i5o4 [BCS301] Model Question Paper 2 (Q.2b) - https://youtu.be/rnnpikrz9Js?si=wgt7XKNs1Sb_5I99 [BS301] Model Question Paper 2 (Q.2c) - https://youtu.be/B9FZcEU1tRg?si=l6kYa_ywJAyD7SS- Module 2 [BCS301] Model Question Paper 1 (Q.3a) - https://youtu.be/PkCv6vB1DAg?si=76Em4lmKeCchNzJk [BCS301] Model Question Paper 1 (Q.3b) - https://youtu.be/U9FQew2-VZE?si=OsPSvrbewpFyn8WC [BCS301] Model Question Paper 1 (Q.3c) - https://youtu.be/DHmgq-MVys0?si=R3IiN703mflmU77f [BCS301] Model Question Paper 1 (Q.4a) - https://youtu.be/G9fQP0Yafn4?si=kxfumCw-X5pUkHHy [BS301] Model Question Paper 1 (Q.4c) - https://youtu.be/J_rf0ykvc8M?si=P9z8SkbcQSqkphgE [ 📐 Watch Next ] Module 3 [BCS301] Model Question Paper 1 (Q.5b) - https://youtu.be/lWwqEz_Q2ww?si=Vzz51SmEluxvd1X4 [BCS301] Model Question Paper 1 (Q.5c) - https://youtu.be/z52vzc6nVxU?si=pFO0CGF3V7RMIQqN [BCS301] Model Question Paper 1 (Q.6b) - https://youtu.be/JfwBMOAg-oA?si=Bh9vxbBBk_X5DtuU [BS301] Model Question Paper 1 (Q.6c) - https://youtu.be/kPP_oDlEocU?si=AR3cQTOKqFfq4CmP Module 3 [BCS301] Model Question Paper 2 (Q.5b) - https://youtu.be/66tQv1AdRAM?si=ck7H1MVabg5EJOQU [BCS301] Model Question Paper 2 (Q.5c) - https://youtu.be/gJQ6lyfTYQo?si=gmMPfdFrq7beAMrK [BCS301] Model Question Paper 2 (Q.6b) - https://youtu.be/VNVEIHuGqZk?si=qhl10-5Se9j7H0m0 [BS301] Model Question Paper 2 (Q.6c) - https://youtu.be/ADQ84inwPTs?si=5OEJ3pXLZC9A6RWs Module 4 [BCS301] Model Question Paper 1 (Q.7a) - https://youtu.be/P1Xvdk53ssU?si=8mYL58i1dVTRbvXR [BCS301] Model Question Paper 1 (Q.7b) - https://youtu.be/rdi3LL_8R-s?si=p8sRacDUepMfkEQa [BCS301] Model Question Paper 1 (Q.7c) - https://youtu.be/clqC3FvEH18?si=88-974Hp44F56a_J [BCS301] Model Question Paper 1 (Q.8a) - https://youtu.be/E-dZ8mGZ_xU?si=c_r25QCj2OJnNAKf [BS301] Model Question Paper 1 (Q.8b) - https://youtu.be/jAkBCGFku4U?si=nfuqoIZspxyE36iL [BS301] Model Question Paper 1 (Q.8c) - https://youtu.be/piwfTNeCQUg?si=gPW_yDp-hYtKkNv- Module 4 [BCS301] Model Question Paper 2 (Q.7a) - https://youtu.be/MNN_WTBIZmY?si=fAClpqDFDa4rYl_6 [BCS301] Model Question Paper 2 (Q.7b) - https://youtu.be/IcWw2LmXtI4?si=uZ-_it71zg-1yNNM [BCS301] Model Question Paper 2 (Q.7c) - https://youtu.be/d0V8zBLmuZ4?si=Uqhud0VjDngoXYBi [BCS301] Model Question Paper 2 (Q.8a) - https://youtu.be/IHXc0hLn2TI?si=ztkEfipw2_F9D_56 [BCS301] Model Question Paper 2 (Q.8b) - https://youtu.be/P5m2t8ecXX8?si=vvZnOuBcCT3_TTSV [BS301] Model Question Paper 2 (Q.8c) - https://youtu.be/-S58vE-8bR0?si=p6_SQUBeRkVXFWBV #VTU #BCS301 #MathematicsForCS #VTUMaths #VTUModelPaper #MarkovChains #Probability #GamblerProblem #TransitionMatrix #VTUExamPrep #VTU2024 #VTU2025