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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 gre...
SAT Math 2.4 Statistics and Probability 244 Views
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Description:
SAT Math 2.4 Statistics and Probability
Transcript
- 00:02
Getting shmoopy with it.
- 00:07
What is the probability of rolling two dice where the sum of the two is greater than or equal to 8?
- 00:14
And here are the potential answers…
- 00:19
The easiest way to solve this problem is to create a table of values
- 00:22
that shows what values are possible to roll when rolling two dice.
Full Transcript
- 00:27
On each side of the table of values, we’ll show the roll of an individual die.
- 00:31
Then, we’ll fill in the inside with the sum of the two rolls.
- 00:35
Now, we’ll look at the table, and count the outcomes that are greater than or equal to 8.
- 00:40
There are 5 ways to roll 8, 4 ways to roll 9, 3 ways to roll 10, 2 ways to roll 11, and
- 00:50
1 way to roll 12. That's it. We add up all of these numbers, and get the
- 00:55
number of ways we can roll a number greater than or equal to 8. That comes out to be 15.
- 01:01
Remember that probability is equal to the favorable over the possible.
- 01:06
In this case our favorable outcome is a roll whose sum is greater than or equal to 8.
- 01:12
We’ve found that it is equal to 15.
- 01:14
The possible choices are 36, as there are 36 different combinations of two dice.
- 01:19
Our probability is 15 over 36 which is about 41.6% and the answer is (C).
- 01:57
As in, “Crapping out.”
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