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Two different dice are tossed together. Find the probability that the product of two numbers on the top of the
dice is 6.?
dice is 6.?
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Two different dice are tossed together. Find the probability that the ...
Understanding the Problem
When two dice are tossed, each die can show a number from 1 to 6. We need to find the probability that the product of the numbers on the top faces of the dice equals 6.
Possible Outcomes
The total outcomes when tossing two dice can be calculated as follows:
- Each die has 6 faces.
- Therefore, the total number of outcomes when tossing two dice is 6 * 6 = 36.
Finding Favorable Outcomes
Next, we need to identify the pairs of numbers (a, b) such that their product equals 6:
- (1, 6)
- (2, 3)
- (3, 2)
- (6, 1)
The pairs listed above can be interpreted as follows:
- The product of 1 and 6 is 6.
- The product of 2 and 3 is 6.
- The product of 3 and 2 is also 6.
- The product of 6 and 1 is 6.
This gives us 4 favorable outcomes where the product is 6.
Calculating the Probability
To find the probability, we use the formula:
- Probability = (Number of Favorable Outcomes) / (Total Outcomes)
Substituting the values:
- Probability = 4 / 36
This simplifies to:
- Probability = 1 / 9
Conclusion
The probability that the product of the two numbers on the top faces of the dice equals 6 is 1/9.
When two dice are tossed, each die can show a number from 1 to 6. We need to find the probability that the product of the numbers on the top faces of the dice equals 6.
Possible Outcomes
The total outcomes when tossing two dice can be calculated as follows:
- Each die has 6 faces.
- Therefore, the total number of outcomes when tossing two dice is 6 * 6 = 36.
Finding Favorable Outcomes
Next, we need to identify the pairs of numbers (a, b) such that their product equals 6:
- (1, 6)
- (2, 3)
- (3, 2)
- (6, 1)
The pairs listed above can be interpreted as follows:
- The product of 1 and 6 is 6.
- The product of 2 and 3 is 6.
- The product of 3 and 2 is also 6.
- The product of 6 and 1 is 6.
This gives us 4 favorable outcomes where the product is 6.
Calculating the Probability
To find the probability, we use the formula:
- Probability = (Number of Favorable Outcomes) / (Total Outcomes)
Substituting the values:
- Probability = 4 / 36
This simplifies to:
- Probability = 1 / 9
Conclusion
The probability that the product of the two numbers on the top faces of the dice equals 6 is 1/9.
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Two different dice are tossed together. Find the probability that the product of two numbers on the top of thedice is 6.?
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Two different dice are tossed together. Find the probability that the product of two numbers on the top of thedice is 6.? 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 different dice are tossed together. Find the probability that the product of two numbers on the top of thedice is 6.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two different dice are tossed together. Find the probability that the product of two numbers on the top of thedice is 6.?.
Two different dice are tossed together. Find the probability that the product of two numbers on the top of thedice is 6.? 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 different dice are tossed together. Find the probability that the product of two numbers on the top of thedice is 6.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two different dice are tossed together. Find the probability that the product of two numbers on the top of thedice is 6.?.
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