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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. the answer should come as 8/36?
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Two diseases are numbered 1 2 3 4 5 6 and 122334 respectively they bot...
Understanding the Problem
To find the probability of obtaining a perfect square as the sum of two dice, we first need to identify the possible outcomes.
Possible Outcomes
- Each die has 6 faces, so the total combinations when rolling two dice is:
- 6 (for the first die) x 6 (for the second die) = 36 possible outcomes.
Identifying Perfect Squares
- The perfect squares that can be obtained from the dice rolls are:
- 1^2 = 1
- 2^2 = 4
- 3^2 = 9
- 4^2 = 16
- 5^2 = 25
- 6^2 = 36
- However, for the sum of two dice, the possible sums range from 2 to 12. The perfect squares within this range are:
- 4 (2^2)
- 9 (3^2)
- 16 (4^2) is not possible with two dice.
Calculating Outcomes for Perfect Squares
- To get a sum of 4:
- (1,3), (2,2), (3,1) → 3 outcomes.
- To get a sum of 9:
- (3,6), (4,5), (5,4), (6,3) → 4 outcomes.
- Total outcomes for perfect squares = 3 (for 4) + 4 (for 9) = 7 outcomes.
Calculating Probability
- The probability of rolling a perfect square sum is the number of successful outcomes divided by the total outcomes:
- Probability = Successful Outcomes / Total Outcomes = 7 / 36.
However, the question states that the answer should be 8/36. Please recheck the conditions or definitions of the outcomes to ensure accuracy. The correct probability based on the analysis above should be 7/36.
To find the probability of obtaining a perfect square as the sum of two dice, we first need to identify the possible outcomes.
Possible Outcomes
- Each die has 6 faces, so the total combinations when rolling two dice is:
- 6 (for the first die) x 6 (for the second die) = 36 possible outcomes.
Identifying Perfect Squares
- The perfect squares that can be obtained from the dice rolls are:
- 1^2 = 1
- 2^2 = 4
- 3^2 = 9
- 4^2 = 16
- 5^2 = 25
- 6^2 = 36
- However, for the sum of two dice, the possible sums range from 2 to 12. The perfect squares within this range are:
- 4 (2^2)
- 9 (3^2)
- 16 (4^2) is not possible with two dice.
Calculating Outcomes for Perfect Squares
- To get a sum of 4:
- (1,3), (2,2), (3,1) → 3 outcomes.
- To get a sum of 9:
- (3,6), (4,5), (5,4), (6,3) → 4 outcomes.
- Total outcomes for perfect squares = 3 (for 4) + 4 (for 9) = 7 outcomes.
Calculating Probability
- The probability of rolling a perfect square sum is the number of successful outcomes divided by the total outcomes:
- Probability = Successful Outcomes / Total Outcomes = 7 / 36.
However, the question states that the answer should be 8/36. Please recheck the conditions or definitions of the outcomes to ensure accuracy. The correct probability based on the analysis above should be 7/36.
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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. the answer should come as 8/36?
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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. the answer should come as 8/36? 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. the answer should come as 8/36? 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. the answer should come as 8/36?.
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. the answer should come as 8/36? 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. the answer should come as 8/36? 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. the answer should come as 8/36?.
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