What is the sample space of the even values for the sum or two 6-sided dice? Click Here for Help Video

Question

List your values from smallest to largest.

Normally we would put commas when making a list but do not this for the question. Put a single space. Example: instead of

1, 2 we write 1 2

The sample space is {

Answer 1

To find the sample space of the even values for the sum of two 6-sided dice, we first consider the possible sums of two dice, which range from \( 2 \) (1 + 1) to \( 12 \) (6 + 6).

The even sums within this range are:

• 2
• 4
• 6
• 8
• 10
• 12

Now, listing them from smallest to largest without commas, we get:

2 4 6 8 10 12

Thus, the sample space is:

{ 2 4 6 8 10 12 }