Question: Let A be the event It will rain today; let B be the event I will do the grocery shopping today. Apply the general addition

  1. Let A be the event "It will rain today;" let B be the event "I will do the grocery shopping today." Apply the general addition rule of probability to find P(A or B). Assume that events A and B are independent. Assume that P(A)=0.3 and P(B)=0.6.
  2. The probability of a person having the flu is 0.4. Given that the person has the flu, the probability of a medical instrument giving a positive result is 0.9. Given that the person does not have the flu, the probability of a medical instrument giving a positive result is 0.2. Given that a person got a positive result, using Bayes theorem, find the probability that he has flu.

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