12. Two fair dice are rolled. Find the probability of:
a) getting two 6s
b) getting a 6 and a 4
c) getting a sum of 8
solve this question with full method
Answers
Step-by-step explanation:
The answer would be 5/36 because the number of possible outcomes is 36, and the possible ways to get a sum of six are (1, 5), (2, 4), (3, 3), (4, 2), (5, 1). There are 5 ways and 36 possible outcomes in total, so 5/36 is the answer. There is one more solution as well (technically). The order could matter in this problem, so (3, 3) and (3, 3) can be perceived to be different. With this method of solving the problem, there would be 42 different outcomes and 6 ways to obtain a sum of six, making the answer 1/7. The reason (3, 3) and (3, 3) are different is because it would look like this with A being the first dice and B being the 2nd: (1A, 5B), (2A, 4B), (3A, 3B), (3B, 3A), (4A, 2B), and (5A, 1B). These two solutions can be both counted as correct based on the way that one perceives it. The second solution is obtained using permutations instead of simple combinations. The first solution (5/36) is widely regarded as the correct answer (which is mostly true), but technically 1/7 is also correct.