A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 4
? Express your answer as a fraction or a decimal number rounded to four decimal places.
To find the probability of rolling a sum greater than 4, we can first list all the possible outcomes of rolling two six-sided dice:
1+1 = 2
1+2 = 3
1+3 = 4
1+4 = 5
1+5 = 6
1+6 = 7
2+1 = 3
2+2 = 4
2+3 = 5
2+4 = 6
2+5 = 7
2+6 = 8
3+1 = 4
3+2 = 5
3+3 = 6
3+4 = 7
3+5 = 8
3+6 = 9
4+1 = 5
4+2 = 6
4+3 = 7
4+4 = 8
4+5 = 9
4+6 = 10
5+1 = 6
5+2 = 7
5+3 = 8
5+4 = 9
5+5 = 10
5+6 = 11
6+1 = 7
6+2 = 8
6+3 = 9
6+4 = 10
6+5 = 11
6+6 = 12
There are a total of 36 possible outcomes when rolling two six-sided dice. Out of these outcomes, there are 21 outcomes where the sum is greater than 4 (5, 6, 7, 8, 9, 10, 11, 12).
Therefore, the probability of rolling a sum greater than 4 is 21/36 = 0.5833 (rounded to four decimal places).
So, the probability of rolling a sum greater than 4 is approximately 0.5833.