Regions $A, B, C, J$ and $K$ represent ponds. Logs leave pond $A$ and float down flumes (represented by arrows) to eventually en

Question

3 years ago

6

Regions $A, B, C, J$ and $K$ represent ponds. Logs leave pond $A$ and float down flumes (represented by arrows) to eventually en

d up in pond $B$ or pond $C$. On leaving a pond, the logs are equally likely to use any available exit flume. Logs can only float in the direction the arrow is pointing. What is the probability that a log in pond $A$ will end up in pond $B$?

Mathematics

2 answers:

Leni [432] · Answer 1 · 2022-02-21T06:36:17+03:00

Leni [432]3 years ago

7 0

Answer:

5/18

Step-by-step explanation:

There is a 1/3 chance of going to k. From K, there is a 1/2 chance of going to b, so that way has a prob of 1/6. By the same concept, there is a 1/9 chance of going to B via J. The prob you are asking for is 5/18

Amiraneli [1.4K] · Answer 2 · 2022-02-21T04:16:26+03:00

Amiraneli [1.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

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