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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25?
- a)0
- b)1/2
- c)1
- d)1/1296
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If four dice are thrown together, then what is the probability that th...
Concept:
Probability of an event happening = (Number of ways it can happen) / (Total number of outcomes)
If a die thrown, Number of sample space = 6, If two dice are thrown n(S) = 62 = 36
Calculation:
Here, four dice are thrown,
n(S) = 64
Now, sum of the numbers appearing on them 25 = { }
⇒ n = 0
(∵maximum sum = 6 + 6 + 6 + 6 = 24)
∴ Probability = 0/(64) = 0
Hence, option (a) is correct.
Most Upvoted Answer
If four dice are thrown together, then what is the probability that th...
Concept:
Probability of an event happening = (Number of ways it can happen) / (Total number of outcomes)
If a die thrown, Number of sample space = 6, If two dice are thrown n(S) = 62 = 36
Calculation:
Here, four dice are thrown,
n(S) = 64
Now, sum of the numbers appearing on them 25 = { }
⇒ n = 0
(∵maximum sum = 6 + 6 + 6 + 6 = 24)
∴ Probability = 0/(64) = 0
Hence, option (a) is correct.
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Community Answer
If four dice are thrown together, then what is the probability that th...
Understanding the Problem
When four dice are thrown, each die can show a number between 1 and 6. The maximum possible sum when rolling four dice is calculated as follows:
- Maximum value on one die: 6
- Maximum sum for four dice: 6 + 6 + 6 + 6 = 24
Thus, the maximum total obtainable from rolling four dice is 24.
Sum of 25: An Impossible Outcome
Since the maximum achievable sum is 24, it is impossible to roll a total of 25 with four dice. Therefore, the probability of getting a sum of 25 is:
- Total outcomes leading to a sum of 25: 0
Calculating Total Outcomes
When rolling four dice, each die has 6 faces, resulting in:
- Total combinations when rolling four dice: \(6^4 = 1296\)
With 0 combinations that result in a sum of 25, the probability can be calculated as:
- Probability = (Number of favorable outcomes) / (Total outcomes)
Final Probability Calculation
Since there are no favorable outcomes (0) for a sum of 25:
- Probability = 0 / 1296 = 0
Thus, the correct answer is option 'A': **0**.
When four dice are thrown, each die can show a number between 1 and 6. The maximum possible sum when rolling four dice is calculated as follows:
- Maximum value on one die: 6
- Maximum sum for four dice: 6 + 6 + 6 + 6 = 24
Thus, the maximum total obtainable from rolling four dice is 24.
Sum of 25: An Impossible Outcome
Since the maximum achievable sum is 24, it is impossible to roll a total of 25 with four dice. Therefore, the probability of getting a sum of 25 is:
- Total outcomes leading to a sum of 25: 0
Calculating Total Outcomes
When rolling four dice, each die has 6 faces, resulting in:
- Total combinations when rolling four dice: \(6^4 = 1296\)
With 0 combinations that result in a sum of 25, the probability can be calculated as:
- Probability = (Number of favorable outcomes) / (Total outcomes)
Final Probability Calculation
Since there are no favorable outcomes (0) for a sum of 25:
- Probability = 0 / 1296 = 0
Thus, the correct answer is option 'A': **0**.
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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25?a)0b)1/2c)1d)1/1296Correct answer is option 'A'. Can you explain this answer?
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