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SAT Math 1.5 Statistics and Probability. If Silas draws one card, then places it in his pocket and draws another, what is the probability that...
SAT Math 1.4 Statistics and Probability 380 Views
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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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