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SAT Math 1.3 Statistics and Probability. Approximately what is the probability that they will be placed in alphabetical order?
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 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 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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