a) Today I am not sure what I will do and am considering several options. I am considering going out shopping, and I will probably do this, with likelihood of 60%. If I go shopping, there is a 20% I will visit the bookstore and buy a new book. What is the overall probability that I go out shopping and that I buy a book at a bookstore while I am out shopping?

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multiplication principle for dependent events (conditional probability)
a) Today I am not sure what I will do and am considering several options.
I am considering going out shopping, and I will probably do this, with likelihood of 60%.
If I go shopping, there is a 20% I will visit the bookstore and buy a new book.
What is the overall probability that I go out shopping and that I buy a book at a bookstore while I am out shopping?
b) At a certain dentist office on a certain day, 70% of the patients were there for regular checkup and cleaning only., while
the remaining 30% required some specialized procedure.
For those who required a procedure 80% were having one (or more) cavities filled.
What is the overall probability to find a patient who visited the dental office for a tooth filling?
What is the overall probability to find a patient who visited the dental office for a specialized procedure other than a tooth
filling?
Transcribed Image Text:multiplication principle for dependent events (conditional probability) a) Today I am not sure what I will do and am considering several options. I am considering going out shopping, and I will probably do this, with likelihood of 60%. If I go shopping, there is a 20% I will visit the bookstore and buy a new book. What is the overall probability that I go out shopping and that I buy a book at a bookstore while I am out shopping? b) At a certain dentist office on a certain day, 70% of the patients were there for regular checkup and cleaning only., while the remaining 30% required some specialized procedure. For those who required a procedure 80% were having one (or more) cavities filled. What is the overall probability to find a patient who visited the dental office for a tooth filling? What is the overall probability to find a patient who visited the dental office for a specialized procedure other than a tooth filling?
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