You roll two dice. What is the probability that the sum of the dice is odd and both dice show the number 5?
1 Answer
Explanation:
Looking at the badly drawn table below you can see on the top the numbers 1 through 6. They represent the first die, The first column represents the second die. Within you see the numbers 2 through 12. Each position represents the sum of the two dice. Notice that it has 36 total possibilities for the result of the throw. if we count the odd results we get 18, so the probability of an odd number is 18/36 or 0.5. Now both dice showing five only happens once, so the probability is 1/36 or 0.0277777777
....1 ....2 ....3 ....4 ....5 ....6
1 .2 ...3 ....4 ....5 ....6 ....7
2 3 ...4 ....5 ....6 ....7 ....8
3 4 ...5 ....6 ....7 ....8 ....9
4 5 ...6 ....7 ....8 ....9 ...10
5 6 ...7 ....8 ....9 ...10 ...11
6 7 ...8 ....9 ...10 ...11 ...12
