what is the probability of rolling a matching pair of numbers when rolling a pair of dice?
First of all 1/6 * 1/6 = 1/36 ≠ 1/12
However, the matched pair can be 1s, 2s, 3s, 4s, 5s or 6s. The either-or probability is found by adding the individual probabilities.
1/36 + 1/36 + 1/36 + 1/36 + 1/36 + 1/36 = 6/36 = 1/6
To calculate the probability of rolling a matching pair of numbers when rolling a pair of dice, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Each die has six sides numbered from 1 to 6, so the total number of outcomes when rolling two dice is 6 multiplied by 6, which equals 36 possible outcomes.
To find the favorable outcomes, we need to determine how many ways we can roll a matching pair. There are six possible matching pairs: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).
Therefore, the number of favorable outcomes is 6.
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 6 / 36
Simplifying the fraction, we get:
Probability = 1 / 6
Therefore, the probability of rolling a matching pair of numbers when rolling a pair of dice is 1 out of 6, or approximately 0.1667 (or 16.67%).
I think it would be 1/12.
Each dice has 6 numbers, thus there is a 1/6 probability of rolling any number. When you roll the second dice you have the same probability of getting any number. Since you want the numbers to be the same you would multiple the probabilities of getting one number together. 1/6 x 1/6 = 1/12