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Questions and Answers
What is the probability of rolling a double with two fair dice?
What is the probability of rolling a double with two fair dice?
If you roll two fair dice, what is the probability of rolling a sum of 7?
If you roll two fair dice, what is the probability of rolling a sum of 7?
How many outcomes are possible when rolling two fair dice?
How many outcomes are possible when rolling two fair dice?
What is the probability of rolling an even number on both dice?
What is the probability of rolling an even number on both dice?
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If you roll two fair dice, what is the probability of rolling a sum greater than 10?
If you roll two fair dice, what is the probability of rolling a sum greater than 10?
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Study Notes
Rolling Two Fair Dice
- The probability of rolling a double with two fair dice is 1/6, since there are 6 possible doubles (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6) out of 36 possible outcomes.
Probability of Sum 7
- The probability of rolling a sum of 7 with two fair dice is 6/36, since there are 6 ways to achieve a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Possible Outcomes
- There are 36 possible outcomes when rolling two fair dice, since each die has 6 possible outcomes (1, 2, 3, 4, 5, and 6) and the two dice can be combined in 6 × 6 = 36 ways.
Probability of Even Numbers
- The probability of rolling an even number on both dice is 9/36, since there are 9 outcomes where both dice show even numbers: (2,2), (2,4), (2,6), (4,2), (4,4), (4,6), (6,2), (6,4), and (6,6).
Probability of Sum Greater Than 10
- The probability of rolling a sum greater than 10 with two fair dice is 3/36, since there are 3 outcomes where the sum is greater than 10: (5,6), (6,5), and (6,6).
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Description
This quiz explores the probability of different outcomes when rolling two fair dice, including rolling doubles, sums, and even numbers.
