5. Suppose the values of α and β are independently chosen uniformly from the interval (0,2). Provided that the numbers (1, α, β) can form the sides of a triangle, find the probability that the numbers form an acute triangle.

1. There was a class of 41 people divided into three groups A, B, and C, and the average score of subject natural’s test was 89.7 points; the average score of group A was 89.8 points; the average score of A, B combination was 88.5 points; the average score of A and C combination was 91 points, and how many people were in each of groups A, B and C?

5. Suppose the values of α and β are independently chosen uniformly from the interval (0,2). Provided that the numbers (1, α, β) can form the sides of a triangle, find the probability that the numbers form an acute triangle.

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