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Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 is _____.
- a)2/9
- b)3/7
- c)4/9
- d)5/9
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two dice are thrown simultaneously. The probability of getting a doubl...
To find the probability of getting a doublet or a total of 4 when two dice are thrown simultaneously, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Number of favorable outcomes:
1. Doublet: A doublet means both dice show the same number. There are six possible outcomes for a doublet - (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6).
2. Total of 4: To get a total of 4, there are three possible outcomes - (1, 3), (2, 2), and (3, 1).
Therefore, the number of favorable outcomes is 6 (for doublets) + 3 (for a total of 4) = 9.
Total number of possible outcomes:
When two dice are thrown simultaneously, each die has 6 possible outcomes. Since both dice are thrown together, the total number of possible outcomes is 6 x 6 = 36.
Probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
Therefore, the probability of getting a doublet or a total of 4 is 9/36, which simplifies to 1/4.
To convert 1/4 into a multiple of 9, we can multiply both the numerator and denominator by 9.
1/4 * 9/9 = 9/36
So, the probability of getting a doublet or a total of 4 is 9/36, which is equal to 2/9.
Hence, the correct answer is option A, 2/9.
Number of favorable outcomes:
1. Doublet: A doublet means both dice show the same number. There are six possible outcomes for a doublet - (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6).
2. Total of 4: To get a total of 4, there are three possible outcomes - (1, 3), (2, 2), and (3, 1).
Therefore, the number of favorable outcomes is 6 (for doublets) + 3 (for a total of 4) = 9.
Total number of possible outcomes:
When two dice are thrown simultaneously, each die has 6 possible outcomes. Since both dice are thrown together, the total number of possible outcomes is 6 x 6 = 36.
Probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
Therefore, the probability of getting a doublet or a total of 4 is 9/36, which simplifies to 1/4.
To convert 1/4 into a multiple of 9, we can multiply both the numerator and denominator by 9.
1/4 * 9/9 = 9/36
So, the probability of getting a doublet or a total of 4 is 9/36, which is equal to 2/9.
Hence, the correct answer is option A, 2/9.
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Community Answer
Two dice are thrown simultaneously. The probability of getting a doubl...
Total number of outcomes, when two dice are thrown = 6 x 6 = 36
Total number of doublets present = (1,1), (2, 2), (3, 3), (4, 4), (5, 5), (6,6)
For a total of 4, pairs can be (1,3), (3, 1), (2, 2).
= 8 [since (2, 2) is present in both the cases],
∴ Required probability = 8/36 = 2/9
Total number of doublets present = (1,1), (2, 2), (3, 3), (4, 4), (5, 5), (6,6)
For a total of 4, pairs can be (1,3), (3, 1), (2, 2).
= 8 [since (2, 2) is present in both the cases],
∴ Required probability = 8/36 = 2/9
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Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 is _____.a)2/9b)3/7c)4/9d)5/9Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 is _____.a)2/9b)3/7c)4/9d)5/9Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 is _____.a)2/9b)3/7c)4/9d)5/9Correct answer is option 'A'. Can you explain this answer?.
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