SOLUTION:
Case: 2 fair dice tossed.
Probability for rolling two dice with the six sided dots such as 1, 2, 3, 4, 5 and 6 dots in each die.
Below is the sample space (of possibilities) of tossing 2 fair dice.
Given: Let E be the event where the sum of two rolled dice is odd
Required: List the outcomes in Ec (sum of the two dice is odd)
Method:
Step 1: Use number addition theory to select our possible combinations
It is important to note that this is true for odd results
Odd+Odd= Even
Odd+Even= Odd
Even+Odd= Odd
Even+Even= Even.
Step 2: Selecting all the odd sums by rows
Ec= (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5)
Final answer:
Ec= (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3) and (6, 5)