1.Compute the indicated quantity.

P(A|B) =.2,P(B) =.5. FindP(AB).

P(AB) =

2.Compute the indicated quantity.

P(A) =.3,P(B) =.1.AandBare independent. FindP(AB).

P(AB) =

3.Supply the missing quantities. (AssumeP₁=0.2,P₂=0.6,P₃=0.4.)

P(AC) =P(AD) =P(BC) =P(BD) =

4.According to a certain news poll,77%agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and50%agreed that it would be a good idea to invest part of their Social Security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions? (Round your answer to two decimal places.)

5.Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes.

There is a30%chance of rain today and a60%chance of rain tomorrow. Assume that the event that it rains today is independent of the event that it rains tomorrow. What is the probability that there will be no rain today or tomorrow?

6.Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled.

The sum is6, given that the green one is either3or2.

Thank you so much!!!