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In a single throw of a die, the probability of getting a multiple of 3 is
- A:1/6
- B:1/3
- C:3/6
- D:4/6
The answer is B.
Verified Answer
In a single throw of a die, the probability of getting a multiple of 3...
Given : A die is thrown once .
A die has 6 faces marked as 1, 2, 3, 4, 5 and 6.
If we throw one die then there possible outcomes are as follows: 1, 2, 3, 4, 5 and 6
Number of possible outcomes are = 6
Let E = Event of getting a getting a multiple of 3
Multiples of 3 are = 3, 6
Number of outcome favourable to E = 2
Probability (E) = Number of favourable outcomes / Total number of outcomes
P(E) = 2/6 = 1/3
Hence, the probability of getting a multiple of 3, P(E) = 1/3
Most Upvoted Answer
In a single throw of a die, the probability of getting a multiple of 3...
Just make sets of 3 numbers 1,2,3,4,5,6,7,8,9,... Means 1,2,3 4,5,6 7,8,9 In every set you will find only single number which is divisible by 3 In 1,2,3 3 is the number In 4,5,6 6 is the number In 7,8,9 9 is the number Likewise therefore, set contains total of 3 numbers but event is only 1. P(3) = 1/3.
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Community Answer
In a single throw of a die, the probability of getting a multiple of 3...
Understanding the Problem
When rolling a standard six-sided die, the possible outcomes are 1, 2, 3, 4, 5, and 6. We need to find the probability of rolling a multiple of 3.
Identifying Multiples of 3
The multiples of 3 in the range of 1 to 6 are:
- 3
- 6
Thus, there are 2 favorable outcomes.
Total Possible Outcomes
A die has 6 faces, so the total number of possible outcomes when rolling a die is:
- 1 (for face 1)
- 2 (for face 2)
- 3 (for face 3)
- 4 (for face 4)
- 5 (for face 5)
- 6 (for face 6)
This gives us a total of 6 outcomes.
Calculating the Probability
Probability is calculated using the formula:
Probability = (Number of Favorable Outcomes) / (Total Possible Outcomes)
In this case:
- Number of Favorable Outcomes = 2 (the multiples of 3: 3 and 6)
- Total Possible Outcomes = 6
So, the probability of rolling a multiple of 3 is:
Probability = 2 / 6 = 1 / 3
The Correct Answer
Thus, the probability of getting a multiple of 3 when rolling a die is:
- Option B: 1/3
This means that you have a one in three chance of rolling a multiple of 3.
When rolling a standard six-sided die, the possible outcomes are 1, 2, 3, 4, 5, and 6. We need to find the probability of rolling a multiple of 3.
Identifying Multiples of 3
The multiples of 3 in the range of 1 to 6 are:
- 3
- 6
Thus, there are 2 favorable outcomes.
Total Possible Outcomes
A die has 6 faces, so the total number of possible outcomes when rolling a die is:
- 1 (for face 1)
- 2 (for face 2)
- 3 (for face 3)
- 4 (for face 4)
- 5 (for face 5)
- 6 (for face 6)
This gives us a total of 6 outcomes.
Calculating the Probability
Probability is calculated using the formula:
Probability = (Number of Favorable Outcomes) / (Total Possible Outcomes)
In this case:
- Number of Favorable Outcomes = 2 (the multiples of 3: 3 and 6)
- Total Possible Outcomes = 6
So, the probability of rolling a multiple of 3 is:
Probability = 2 / 6 = 1 / 3
The Correct Answer
Thus, the probability of getting a multiple of 3 when rolling a die is:
- Option B: 1/3
This means that you have a one in three chance of rolling a multiple of 3.
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In a single throw of a die, the probability of getting a multiple of 3 isA:1/6B:1/3C:3/6D:4/6The answer is B. 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 In a single throw of a die, the probability of getting a multiple of 3 isA:1/6B:1/3C:3/6D:4/6The answer is B. covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a single throw of a die, the probability of getting a multiple of 3 isA:1/6B:1/3C:3/6D:4/6The answer is B..
In a single throw of a die, the probability of getting a multiple of 3 isA:1/6B:1/3C:3/6D:4/6The answer is B. 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 In a single throw of a die, the probability of getting a multiple of 3 isA:1/6B:1/3C:3/6D:4/6The answer is B. covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a single throw of a die, the probability of getting a multiple of 3 isA:1/6B:1/3C:3/6D:4/6The answer is B..
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