Find the probability of obtaining a total of 4 when 4 fair dice are thrown together

Answer 1

To find the probability of obtaining a total of 4 when 4 fair dice are thrown together, we need to determine the number of ways we can get a sum of 4 and divide it by the total number of possible outcomes.

The possible outcomes for each dice include the numbers 1, 2, 3, 4, 5, and 6. Therefore, the total number of possible outcomes when throwing 4 dice is 6^4 = 1296 (since there are 6 possible outcomes for each dice and we are throwing 4 dice).

To determine the number of ways to obtain a sum of 4, we can use the concept of combinations. The sum of 4 can be obtained with the following combinations of numbers:

1 + 1 + 1 + 1
1 + 1 + 2
1 + 2 + 1
2 + 1 + 1
2 + 2
1 + 3
3 + 1

There are 7 different combinations that can result in a sum of 4.

Therefore, the probability of obtaining a total of 4 when throwing 4 fair dice together is 7/1296, which can be simplified to 1/186.