6. Reflection Principle Use the reflection principle to find the number of paths for a simple random walk from So = 2 to S 5 that do not hit the line y = 6. S⑬= # of paths ③- in 15 moves of paths 2-75 in 15 moves but =2002 "bist =6 f R.P. 15 moves : 160 12 moves balancing. 61 15 =3003 1=5005 g R.P: If the RW reaches level y = 6 for the 1st time at step k, then # # any m>k and D = 7 for any m > (n = 6 • of patties that reach L in in ⑦deps (k->m) H - steps (k -> m) * of paths that reach of - (L-g)= 2y=] in mak 11 2.6 7-5 5 2 # of pathe 2->5 in 15 steps that reach y=6 +5 → # of parties 2 + 0 in 15 stops 50 10 moves (X;) +5 450 85 +1 -1 A 50 10 moves U .50 +1.5 50 شهشه U v 15 4. Reflection Principle Use the reflection principle to find the number of paths for a simple random walk from So = 2 to S10 6 that hit the line y = 1 =

6. Reflection Principle Use the reflection principle to find the number of paths for a simple random walk from So = 2 to S 5 that do not hit the line y = 6. S⑬= # of paths ③- in 15 moves of paths 2-75 in 15 moves but =2002 "bist =6 f R.P. 15 moves : 160 12 moves balancing. 61 15 =3003 1=5005 g R.P: If the RW reaches level y = 6 for the 1st time at step k, then # # any m>k and D = 7 for any m > (n = 6 • of patties that reach L in in ⑦deps (k->m) H - steps (k -> m) * of paths that reach of - (L-g)= 2y=] in mak 11 2.6 7-5 5 2 # of pathe 2->5 in 15 steps that reach y=6 +5 → # of parties 2 + 0 in 15 stops 50 10 moves (X;) +5 450 85 +1 -1 A 50 10 moves U .50 +1.5 50 شهشه U v 15 4. Reflection Principle Use the reflection principle to find the number of paths for a simple random walk from So = 2 to S10 6 that hit the line y = 1 =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.5: Systems Of Linear Equations In More Than Two Variables

Problem 42E

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