I need to determine the branches of a tree diagram for the following problem. John's car is in the garage and he has to take a bus to get to school. He needs to make all three connections on time to get to his class. If the chance of making the first connection on time is 80%, the second 80%, and the third 70%, what is the chance that john will make an on-time arrival? Would you branch it out starting with 8/10 of a good first connection and 2/10 of a missed connection then only branch down the good connection side? Thank you in advance!
2026-05-10 11:20:40.1778412040
Probability of On-Time arrival - Tree diagram
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Yes. If you have a tree diagram in which you have such 'fail conditions', you do not need to continue past a fail condition. So your first split is 8/10 and 2/10, and the 8/10 branch then splits again but the 2/10 branch does not, and so on.