Three events: A1, A2 and B are given. We know that A1 and A2 are disjointed events. P(A1)>0 and P(A2)>0. Let P(B|A1)= P(B|A2)=0.2. Please find P(B|A1UA2).

A municipal bond service has three rating categories (A, B, and C). Suppose that in the past year, of the municipal bonds issued throughout the United States, 70% were rated A, 20% were rated B, and 10% were rated C. Of the municipal bonds rated A, 50% were issued by cities, 40% by suburbs, and 10% by rural areas. Of the municipal bonds rated B, 60% were issued by cities, 20% by suburbs, and 20% by rural arcas. Of the municipal bonds rated C, 90% were issued by cities, 5% by suburbs, and 5% by rural areas. If a new municipal bond is to be issued by a city, what is the probability that it will receive an A rating?

Three events: A₁, A₂ and B are given. We know that A₁ and A₂ are disjointed events. P(A₁)>0 and P(A₂)>0. Let P(B|A₁)= P(B|A₂)=0.2. Please find P(B|A₁UA₂).

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