00:01
All right, in your question, you're rolling two dye, one green, one red.
00:04
In part a, it says how many things are in the sample space for this experiment? well, i actually drew that out.
00:11
I have my red dye numbers listed in red, my green dye numbers listed in green, and you're adding the sum of the rolls.
00:20
So if we rolled a one in a one, we would end up with a sum of two and so on.
00:26
And what you should see in this chart here is how many different possible outcomes there are.
00:32
And that represents your sample space.
00:36
So your sample space would have, if you count those up, 36 different outcomes.
00:43
Okay, you might be saying, well, why are they different? well, this 7 was caused by a red 4 and a green 3, where this 7 is caused by a red 5 and a green 2.
00:53
They are different outcomes that we need to consider.
00:57
All right, part b, you're supposed to figure out the probability of an even sum.
01:03
So i'm gonna count up how many even outcomes i have.
01:06
One, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18.
01:20
We have 18 even values out of 36 possible, which is one half.
01:28
For our probability.
01:32
Moving on, probability of a sum of eight...