An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 8? Express your answer as a fraction in simplest form.
A. \(\frac{5}{36}\)
B. \(\frac{1}{9}\)
C. \(\frac{36}{5}\)
D. \(\frac{31}{36}\)
(Note: The answer is option A, but you are asked to show the work and reasoning behind this result.)
Answer (3)
2-6, 3-5, 4-4, 5-3, 6-2 are all the possible number permutaions that the sum is 8 on two fair dice. There are only 5 ways to make 8. the total number of possible number permutations you would get by squaring 6 to get 36. your answer would then be A. 5/36
In an experiment where two dice are rolled, total outcomes are 36. There are 5 combinations of dice roll that sum up to 8. Hence, the probability of getting an 8 is 5/36. ;
The probability that the sum of two rolled dice equals 8 is 36 5 . This is determined by counting the successful outcomes that add up to 8 and dividing by the total possible outcomes when rolling two dice, which is 36. The correct answer is option A.
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