Question
Suppose a pairbof dice is thrown. What is the probability that the sum of the scores is 5
Answers
GPT 3.5
To find the probability that the sum of the scores is 5, we need to determine the number of favorable outcomes (the sum of the scores is 5) and divide it by the total number of possible outcomes.
Favorable outcomes:
Out of all possible combinations (36 in total) of two dice, the following pairs sum up to 5:
(1,4), (2,3), (3,2), (4,1). Therefore, there are 4 favorable outcomes.
Total possible outcomes:
When throwing a pair of dice, each die can take on 6 different scores. Since there are two dice, there are a total of 6 x 6 = 36 possible outcomes.
Therefore, the probability that the sum of the scores is 5 is 4/36, which simplifies to 1/9.
Favorable outcomes:
Out of all possible combinations (36 in total) of two dice, the following pairs sum up to 5:
(1,4), (2,3), (3,2), (4,1). Therefore, there are 4 favorable outcomes.
Total possible outcomes:
When throwing a pair of dice, each die can take on 6 different scores. Since there are two dice, there are a total of 6 x 6 = 36 possible outcomes.
Therefore, the probability that the sum of the scores is 5 is 4/36, which simplifies to 1/9.