Answers:
Experimental probability = 5/12
Theoretical probability = 5/36
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Explanation:
The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12
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The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.
There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6
- 1+5 = 6
- 2+4 = 6
- 3+3 = 6
- 4+2 = 6
- 5+1 = 6
There are five ways to add to 6, out of 36 outcomes total.
This means the theoretical probability of getting a sum of 6 is 5/36
