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Three dice are rolled together. What is the probability of getting the same number on the three?
- a)2/216
- b)1/36
- c)1/6
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Three dice are rolled together. What is the probability of getting th...
Total number of possible cases = 63 = 216
Favourable number of cases = 6
Probability = 6/216
= 1/36
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Three dice are rolled together. What is the probability of getting th...
Probability of getting the same number on three dice:
When rolling three dice together, each die has six possible outcomes (numbers 1 to 6). So, the total number of possible outcomes is 6 * 6 * 6 = 216.
Number of favorable outcomes:
To get the same number on all three dice, there is only one favorable outcome - all three dice showing the same number.
Calculating the probability:
The probability of an event happening is given by the formula: Probability = (Number of favorable outcomes) / (Total number of possible outcomes).
In this case, the number of favorable outcomes is 1, and the total number of possible outcomes is 216.
Therefore, the probability of getting the same number on three dice is 1/216.
Answer:
The correct answer is option 'B' - 1/36.
When rolling three dice together, each die has six possible outcomes (numbers 1 to 6). So, the total number of possible outcomes is 6 * 6 * 6 = 216.
Number of favorable outcomes:
To get the same number on all three dice, there is only one favorable outcome - all three dice showing the same number.
Calculating the probability:
The probability of an event happening is given by the formula: Probability = (Number of favorable outcomes) / (Total number of possible outcomes).
In this case, the number of favorable outcomes is 1, and the total number of possible outcomes is 216.
Therefore, the probability of getting the same number on three dice is 1/216.
Answer:
The correct answer is option 'B' - 1/36.
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