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Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they both are thrown and their sum of the numbers on them is noted find the probability of getting the sum of a perfect square?
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Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they bot...
To find the probability of getting a perfect square sum when rolling two dice with specified numbers, we can break down the solution step by step.
Understanding the Dice
- Dice 1: Numbers: 1, 2, 3, 4, 5, 6
- Dice 2: Numbers: 1, 2, 2, 3, 3, 4
Possible Outcomes
- Total outcomes when rolling both dice: 6 (from Dice 1) * 6 (from Dice 2) = 36 outcomes.
Calculating Sums
- The possible sums of the numbers when rolling both dice range from 2 (1+1) to 10 (6+4).
- The possible sums are: 2, 3, 4, 5, 6, 7, 8, 9, 10.
Identifying Perfect Squares
- The perfect squares within this range are: 1, 4, 9.
- Valid perfect square sums from our outcomes: 4 (2^2) and 9 (3^2).
Counting Perfect Square Outcomes
- Sum = 4: Possible pairs:
- (1, 3)
- (2, 2)
- (3, 1)
- Sum = 9: Possible pairs:
- (5, 4)
- (6, 3)
- Total pairs resulting in perfect square sums = 5.
Calculating the Probability
- Probability = (Number of favorable outcomes) / (Total outcomes)
- Probability = 5 / 36.
Conclusion
- The probability of rolling a sum that is a perfect square is 5/36. This indicates that while there are a limited number of perfect square sums, they still hold a specific probability within the overall outcomes.
Understanding the Dice
- Dice 1: Numbers: 1, 2, 3, 4, 5, 6
- Dice 2: Numbers: 1, 2, 2, 3, 3, 4
Possible Outcomes
- Total outcomes when rolling both dice: 6 (from Dice 1) * 6 (from Dice 2) = 36 outcomes.
Calculating Sums
- The possible sums of the numbers when rolling both dice range from 2 (1+1) to 10 (6+4).
- The possible sums are: 2, 3, 4, 5, 6, 7, 8, 9, 10.
Identifying Perfect Squares
- The perfect squares within this range are: 1, 4, 9.
- Valid perfect square sums from our outcomes: 4 (2^2) and 9 (3^2).
Counting Perfect Square Outcomes
- Sum = 4: Possible pairs:
- (1, 3)
- (2, 2)
- (3, 1)
- Sum = 9: Possible pairs:
- (5, 4)
- (6, 3)
- Total pairs resulting in perfect square sums = 5.
Calculating the Probability
- Probability = (Number of favorable outcomes) / (Total outcomes)
- Probability = 5 / 36.
Conclusion
- The probability of rolling a sum that is a perfect square is 5/36. This indicates that while there are a limited number of perfect square sums, they still hold a specific probability within the overall outcomes.
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Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they both are thrown and their sum of the numbers on them is noted find the probability of getting the sum of a perfect square?
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Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they both are thrown and their sum of the numbers on them is noted find the probability of getting the sum of a perfect square? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they both are thrown and their sum of the numbers on them is noted find the probability of getting the sum of a perfect square? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they both are thrown and their sum of the numbers on them is noted find the probability of getting the sum of a perfect square?.
Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they both are thrown and their sum of the numbers on them is noted find the probability of getting the sum of a perfect square? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they both are thrown and their sum of the numbers on them is noted find the probability of getting the sum of a perfect square? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they both are thrown and their sum of the numbers on them is noted find the probability of getting the sum of a perfect square?.
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