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Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 is
- a)5/9
- b)2/9
- c)3/9
- d)4/9
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two dice are thrown simultaneously. The probability of getting a doubl...
The formula of probability-number of favourable outcomes divided by total number of outcomes
Faces in 1 dice are 6
So here the total outcomes are 6 into 2
Which is equal to 12
Number of favourable outcomes for getting 4 is either 1 plus 3 or 2 plus 2 so the correct option is B
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Two dice are thrown simultaneously. The probability of getting a doubl...
Probability of getting a doublet or a total of 4
Probability can be calculated by determining the number of favorable outcomes and dividing it by the total number of outcomes.
Favorable outcomes for getting a doublet
When two dice are thrown, a doublet occurs when both dice show the same number. There are 6 ways to get a doublet (1-1, 2-2, 3-3, 4-4, 5-5, 6-6) out of a total of 36 possible outcomes (6 possibilities for the first die multiplied by 6 possibilities for the second die).
Favorable outcomes for getting a total of 4
To get a total of 4, the possible combinations are (1-3, 3-1, 2-2). There are 3 ways to get a total of 4.
Favorable outcomes for either a doublet or a total of 4
To calculate the total favorable outcomes for getting either a doublet or a total of 4, we need to consider the doublet outcomes and the total of 4 outcomes separately. However, we need to subtract the overlapping outcome (2-2) once to avoid double counting. So, the total number of favorable outcomes is 6 (doublet) + 3 (total of 4) - 1 (overlapping outcome) = 8.
Total number of outcomes
The total number of outcomes when two dice are thrown is 36.
Calculating the probability
Probability = (Number of favorable outcomes) / (Total number of outcomes) = 8 / 36 = 2 / 9
Therefore, the probability of getting a doublet or a total of 4 is 2/9.
Probability can be calculated by determining the number of favorable outcomes and dividing it by the total number of outcomes.
Favorable outcomes for getting a doublet
When two dice are thrown, a doublet occurs when both dice show the same number. There are 6 ways to get a doublet (1-1, 2-2, 3-3, 4-4, 5-5, 6-6) out of a total of 36 possible outcomes (6 possibilities for the first die multiplied by 6 possibilities for the second die).
Favorable outcomes for getting a total of 4
To get a total of 4, the possible combinations are (1-3, 3-1, 2-2). There are 3 ways to get a total of 4.
Favorable outcomes for either a doublet or a total of 4
To calculate the total favorable outcomes for getting either a doublet or a total of 4, we need to consider the doublet outcomes and the total of 4 outcomes separately. However, we need to subtract the overlapping outcome (2-2) once to avoid double counting. So, the total number of favorable outcomes is 6 (doublet) + 3 (total of 4) - 1 (overlapping outcome) = 8.
Total number of outcomes
The total number of outcomes when two dice are thrown is 36.
Calculating the probability
Probability = (Number of favorable outcomes) / (Total number of outcomes) = 8 / 36 = 2 / 9
Therefore, the probability of getting a doublet or a total of 4 is 2/9.
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Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 isa)5/9b)2/9c)3/9d)4/9Correct answer is option 'B'. Can you explain this answer?
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Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 isa)5/9b)2/9c)3/9d)4/9Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 isa)5/9b)2/9c)3/9d)4/9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 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 isa)5/9b)2/9c)3/9d)4/9Correct answer is option 'B'. Can you explain this answer?.
Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 isa)5/9b)2/9c)3/9d)4/9Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 isa)5/9b)2/9c)3/9d)4/9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 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 isa)5/9b)2/9c)3/9d)4/9Correct answer is option 'B'. Can you explain this answer?.
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