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Let E be the event where the sum of two rolled dice is odd. List the outcomes in Ec.

User Gileneusz
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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)

Let E be the event where the sum of two rolled dice is odd. List the outcomes in Ec-example-1
User AlfredBr
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