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Probability WorksheetsGrades 5–6–7

Sample Space & Counting Outcomes Worksheets

Enumerate compound sample spaces to find favorable outcome probabilities in lowest terms.

Sample Space & Counting Outcomes

Seed #104729
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Use the sample space to find each probability as a reduced fraction.

1)
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) }
From the sample space of 3 × 4 = 12 ordered pairs, find the probability that (sum ≤ 4) as a reduced fraction: = ______
2)
Sample Space (6 outcomes){ (1,1), (1,2), (1,3), (2,1), (2,2), (2,3) }
From the sample space of 2 × 3 = 6 ordered pairs, find the probability that (sum ≤ 3) as a reduced fraction: = ______
3)
Sample Space (20 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), ... (20 total) }
From the sample space of 4 × 5 = 20 ordered pairs, find the probability that (sum ≤ 5) as a reduced fraction: = ______
4)
Sample Space (10 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5) }
From the sample space of 2 × 5 = 10 ordered pairs, find the probability that (sum ≤ 4) as a reduced fraction: = ______
5)
Sample Space (16 outcomes){ (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), ... (16 total) }
From the sample space of 4 × 4 = 16 ordered pairs, find the probability that (sum ≤ 4) as a reduced fraction: = ______
6)
Sample Space (15 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), ... (15 total) }
From the sample space of 3 × 5 = 15 ordered pairs, find the probability that (sum ≤ 5) as a reduced fraction: = ______
7)
Sample Space (20 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), ... (20 total) }
From the sample space of 4 × 5 = 20 ordered pairs, find the probability that (sum ≤ 3) as a reduced fraction: = ______
8)
Sample Space (15 outcomes){ (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), ... (15 total) }
From the sample space of 3 × 5 = 15 ordered pairs, find the probability that (sum ≤ 4) as a reduced fraction: = ______
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