Percentages and likelihood: "Bob drives to work 60% of the time and..."

alishatucker

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Nov 6, 2016
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Bob drives to work 60% of the time and buses the rest of the time. When he drives he is late 5% of the time and when he takes the bus he is late 20% of the time. Bob was late for work this morning. What is the likelihood that he took the bus?
 
Bob drives to work 60% of the time and buses the rest of the time. When he drives he is late 5% of the time and when he takes the bus he is late 20% of the time. Bob was late for work this morning. What is the likelihood that he took the bus?
What are your thoughts?

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