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Two dice are thrown simultaneously. Find the probability that the sum of points on two dice would be 7 or more ?
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Two dice are thrown simultaneously. Find the probability that the sum ...
To find the probability that the sum of points on two thrown dice is 7 or more, we need to follow these steps:
Step 1: Total Outcomes
- When two dice are thrown, each die has 6 faces.
- Therefore, the total number of outcomes is:
6 (for the first die) × 6 (for the second die) = 36 outcomes.
Step 2: Favorable Outcomes
- We need to determine the combinations that give a sum of 7 or more. The possible sums are:
- Sum = 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 outcomes
- Sum = 8: (2,6), (3,5), (4,4), (5,3), (6,2) → 5 outcomes
- Sum = 9: (3,6), (4,5), (5,4), (6,3) → 4 outcomes
- Sum = 10: (4,6), (5,5), (6,4) → 3 outcomes
- Sum = 11: (5,6), (6,5) → 2 outcomes
- Sum = 12: (6,6) → 1 outcome
- Adding these outcomes gives:
6 + 5 + 4 + 3 + 2 + 1 = 21 favorable outcomes.
Step 3: Calculate Probability
- The probability (P) of getting a sum of 7 or more is given by the formula:
P = (Number of Favorable Outcomes) / (Total Outcomes)
P = 21 / 36
- Simplifying this fraction, we get:
P = 7 / 12
Conclusion
- The probability that the sum of points on two dice would be 7 or more is:
7/12.
Step 1: Total Outcomes
- When two dice are thrown, each die has 6 faces.
- Therefore, the total number of outcomes is:
6 (for the first die) × 6 (for the second die) = 36 outcomes.
Step 2: Favorable Outcomes
- We need to determine the combinations that give a sum of 7 or more. The possible sums are:
- Sum = 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 outcomes
- Sum = 8: (2,6), (3,5), (4,4), (5,3), (6,2) → 5 outcomes
- Sum = 9: (3,6), (4,5), (5,4), (6,3) → 4 outcomes
- Sum = 10: (4,6), (5,5), (6,4) → 3 outcomes
- Sum = 11: (5,6), (6,5) → 2 outcomes
- Sum = 12: (6,6) → 1 outcome
- Adding these outcomes gives:
6 + 5 + 4 + 3 + 2 + 1 = 21 favorable outcomes.
Step 3: Calculate Probability
- The probability (P) of getting a sum of 7 or more is given by the formula:
P = (Number of Favorable Outcomes) / (Total Outcomes)
P = 21 / 36
- Simplifying this fraction, we get:
P = 7 / 12
Conclusion
- The probability that the sum of points on two dice would be 7 or more is:
7/12.
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Two dice are thrown simultaneously. Find the probability that the sum of points on two dice would be 7 or more ?
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Two dice are thrown simultaneously. Find the probability that the sum of points on two dice would be 7 or more ? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Two dice are thrown simultaneously. Find the probability that the sum of points on two dice would be 7 or more ? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two dice are thrown simultaneously. Find the probability that the sum of points on two dice would be 7 or more ?.
Two dice are thrown simultaneously. Find the probability that the sum of points on two dice would be 7 or more ? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Two dice are thrown simultaneously. Find the probability that the sum of points on two dice would be 7 or more ? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two dice are thrown simultaneously. Find the probability that the sum of points on two dice would be 7 or more ?.
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