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In a simultaneous throw of a pair of dice, find the probability of getting a doublet of even number.?
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In a simultaneous throw of a pair of dice, find the probability of get...
Understanding the Problem
When two dice are thrown simultaneously, we are interested in finding the probability of rolling a doublet where both numbers are even. A doublet refers to the case where both dice show the same number.
Total Outcomes
- Each die has 6 faces.
- The total number of outcomes when throwing two dice = 6 x 6 = 36.
Identifying Even Numbers
- The even numbers on a die are 2, 4, and 6.
- Thus, the possible even numbers are:
- 2
- 4
- 6
Finding Doublets of Even Numbers
- The doublets with even numbers are:
- (2, 2)
- (4, 4)
- (6, 6)
- Therefore, there are 3 favorable outcomes.
Calculating the Probability
- Probability is calculated using the formula:
- Probability = (Number of Favorable Outcomes) / (Total Outcomes)
- Here:
- Number of Favorable Outcomes = 3 (doublets of even numbers)
- Total Outcomes = 36
- Thus, the probability = 3 / 36 = 1 / 12.
Conclusion
The probability of getting a doublet of even numbers when throwing a pair of dice is 1/12. This means there is a relatively low chance of rolling the same even number on both dice in a single throw.
When two dice are thrown simultaneously, we are interested in finding the probability of rolling a doublet where both numbers are even. A doublet refers to the case where both dice show the same number.
Total Outcomes
- Each die has 6 faces.
- The total number of outcomes when throwing two dice = 6 x 6 = 36.
Identifying Even Numbers
- The even numbers on a die are 2, 4, and 6.
- Thus, the possible even numbers are:
- 2
- 4
- 6
Finding Doublets of Even Numbers
- The doublets with even numbers are:
- (2, 2)
- (4, 4)
- (6, 6)
- Therefore, there are 3 favorable outcomes.
Calculating the Probability
- Probability is calculated using the formula:
- Probability = (Number of Favorable Outcomes) / (Total Outcomes)
- Here:
- Number of Favorable Outcomes = 3 (doublets of even numbers)
- Total Outcomes = 36
- Thus, the probability = 3 / 36 = 1 / 12.
Conclusion
The probability of getting a doublet of even numbers when throwing a pair of dice is 1/12. This means there is a relatively low chance of rolling the same even number on both dice in a single throw.
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In a simultaneous throw of a pair of dice, find the probability of getting a doublet of even number.?
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In a simultaneous throw of a pair of dice, find the probability of getting a doublet of even number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In a simultaneous throw of a pair of dice, find the probability of getting a doublet of even number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a simultaneous throw of a pair of dice, find the probability of getting a doublet of even number.?.
In a simultaneous throw of a pair of dice, find the probability of getting a doublet of even number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In a simultaneous throw of a pair of dice, find the probability of getting a doublet of even number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a simultaneous throw of a pair of dice, find the probability of getting a doublet of even number.?.
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