Victoria either takes the bus to school or, if she misses it, she walks. The probability that she catches the bus on any given day is 0.4. If she catches the bus, the probability that she will get to school on time is 0.8, but if she misses the bus and has to walk, the probability of her being on time drops to 0.6.Work out the probability that she catches the bus and is on time for school on a given day.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem No. 6
Statement of the Problem:
Victoria either takes the bus to school or, if she misses it, she walks. The probability
that she catches the bus on any given day is 0.4. If she catches the bus, the
probability that she will get to school on time is 0.8, but if she misses the bus and has
to walk, the probability of her being on time drops to 0.6. Work out the probability
that she catches the bus and is on time for school on a given day.
Transcribed Image Text:Problem No. 6 Statement of the Problem: Victoria either takes the bus to school or, if she misses it, she walks. The probability that she catches the bus on any given day is 0.4. If she catches the bus, the probability that she will get to school on time is 0.8, but if she misses the bus and has to walk, the probability of her being on time drops to 0.6. Work out the probability that she catches the bus and is on time for school on a given day.
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