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Probability WorksheetsGrades 6–7–8

Compound Independent Probability Worksheets

Calculate the probability of two independent events both occurring as a simplified fraction.

Compound Independent Probability

Seed #104729
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Date:

Find the probability of each compound independent event as a reduced fraction.

1)
Sample Space (10 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5) }
Find the compound probability of independent events A (1/2) and B (2/5) both occurring as a reduced fraction: P(A and B) = ______
2)
Sample Space (12 outcomes){ (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4) }
Find the compound probability of independent events A (1/3) and B (3/4) both occurring as a reduced fraction: P(A and B) = ______
3)
Sample Space (12 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6) }
Find the compound probability of independent events A (1/2) and B (1/6) both occurring as a reduced fraction: P(A and B) = ______
4)
Sample Space (25 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), ... (25 total) }
Find the compound probability of independent events A (4/5) and B (3/5) both occurring as a reduced fraction: P(A and B) = ______
5)
Sample Space (8 outcomes){ (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4) }
Find the compound probability of independent events A (1/2) and B (3/4) both occurring as a reduced fraction: P(A and B) = ______
6)
Sample Space (24 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), ... (24 total) }
Find the compound probability of independent events A (3/4) and B (1/6) both occurring as a reduced fraction: P(A and B) = ______
7)
Sample Space (10 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5) }
Find the compound probability of independent events A (1/2) and B (1/5) both occurring as a reduced fraction: P(A and B) = ______
8)
Sample Space (18 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), ... (18 total) }
Find the compound probability of independent events A (1/3) and B (2/6) both occurring as a reduced fraction: P(A and B) = ______
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