Question: There are two types of classes in one after-school program: art and music. Consider the following events: A = { A randomly selected student attends

There are two types of classes in one after-school program: art and music. Consider the following events:

A = { A randomly selected student attends art class.}

B = { A randomly selected student attends music class.}

Given()=0.4,()=0.5,()=0.15.

P(A)=0.4,P(B)=0.5,P(AB)=0.15.

1.Sketch a venn diagram for the relations of events A, B. Write the probability for each part on your venn diagram.

2.Find the probability that a randomly selected student attends art class ONLY.

3.Find the probability that a randomly selected student attends art class ONLY OR music class ONLY, but not both.

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