Probability 9
The wife did not come home from work on time. The husband knows from experience that with a probability of 0.3 she talked with a colleague, or with a probability of 0.6 she went shopping, or with a probability of 0.1 she was delayed for other reasons. The husband knows that by 16:00 the wife will already be at home with a probability of 0.9 if she talked with a colleague, or with a probability of 0.2 if she went shopping, or with a probability of 0.9 if she was delayed for other reasons.
What is the probability that the wife will be at home by 16:00?
What is the probability that the wife will be at home by 16:00?
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