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SAT Math 1.4 Statistics and Probability. If two standard 6-sided dice are rolled, what is the probability that the sum of the dice will be greater than 10?
- Data Analysis / Elementary Probability
- Product Type / SAT Math
- Mathematics and Statistics Assessment / Statistical Measures
- Mathematics and Statistics Assessment / Probabilistic Reasoning
- Statistics and Probability / Compute probabilities of compound events
- Statistics and Probability / Use rules of probability to compute probabilities of compound events
- Problem Solving and Data Analysis / Two-way table data
Transcript
- 00:02
Here’s your shmoop du jour, brought to you by Dice.
- 00:05
They actually didn’t have ANY dots on them at all… until they came down with a nasty case of measles.
- 00:13
If two standard 6-sided dice are rolled,
- 00:15
what is the probability that the sum of the dice will be greater than 10?
- 00:20
And here are the potential answers…
Full Transcript
- 00:24
So an easy way to answer this question is to draw a table.
- 00:29
On each side, we’ll represent the result of rolling one of the dice.
- 00:34
Then, we’ll find the sum of each combination.
- 00:36
Now, all we have to do is count the spaces
- 00:39
where the sum is greater than 10. You may have to use your toes. Get your socks off.
- 00:45
There are two spaces with 11, and one with 12.
- 00:48
That’s 3 spaces out of 36 possible combinations.
- 00:52
So the answer is 3/36 or 1/12, and our answer is (C).
- 01:05
Thank goodness we arrived at an answer before we had to start counting other body parts…
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