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A pair of dice is tossed once and a total of 8 has come up. The chance that both the dice show up same number is
- a)5/216
- b)1/5
- c)1/6
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A pair of dice is tossed once and a total of 8 has come up. The chance...
b Explanation:
Given:
- Total of 8 has come up when a pair of dice is tossed once.
To Find:
- The chance that both dice show the same number.
Solution:
- When a pair of dice is tossed once, the total number of outcomes = 6 * 6 = 36 (as there are 6 faces on each die).
- Out of these 36 outcomes, the number of ways to get a total of 8 is 5 (2+6, 3+5, 4+4, 5+3, 6+2).
Calculating the Probability:
- The probability of getting a total of 8 = Number of favorable outcomes / Total number of outcomes
- Probability = 5 / 36
Probability of Both Dice Showing the Same Number:
- When both dice show the same number, the total number of ways = 6 (1+1, 2+2, 3+3, 4+4, 5+5, 6+6).
Calculating the Probability:
- The probability of both dice showing the same number = Number of favorable outcomes / Total number of outcomes
- Probability = 6 / 36 = 1 / 6
Therefore, the correct answer is option B) 1/5.
Given:
- Total of 8 has come up when a pair of dice is tossed once.
To Find:
- The chance that both dice show the same number.
Solution:
- When a pair of dice is tossed once, the total number of outcomes = 6 * 6 = 36 (as there are 6 faces on each die).
- Out of these 36 outcomes, the number of ways to get a total of 8 is 5 (2+6, 3+5, 4+4, 5+3, 6+2).
Calculating the Probability:
- The probability of getting a total of 8 = Number of favorable outcomes / Total number of outcomes
- Probability = 5 / 36
Probability of Both Dice Showing the Same Number:
- When both dice show the same number, the total number of ways = 6 (1+1, 2+2, 3+3, 4+4, 5+5, 6+6).
Calculating the Probability:
- The probability of both dice showing the same number = Number of favorable outcomes / Total number of outcomes
- Probability = 6 / 36 = 1 / 6
Therefore, the correct answer is option B) 1/5.
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A pair of dice is tossed once and a total of 8 has come up. The chance that both the dice show up same number isa)5/216b)1/5c)1/6d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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