# Question: Paper is often tested for burst strength and tear strength

Paper is often tested for “burst strength” and “tear strength.” Say we classify these strengths as low, middle, and high. Then, after examining 100 pieces of paper, we find the following:

If we select one of the pieces at random, what are the probabilities that it has the following characteristics:

(a) A1?

(b) A3 ∩ B2?

(c) A2 ∪ B3?

(d) A1, given that it is B2?

(e) B1, given that it is A3?

If we select one of the pieces at random, what are the probabilities that it has the following characteristics:

(a) A1?

(b) A3 ∩ B2?

(c) A2 ∪ B3?

(d) A1, given that it is B2?

(e) B1, given that it is A3?

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