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SAT Math 2.4 Statistics and Probability 244 Views


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SAT Math 2.4 Statistics and Probability

Language:
English Language

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.

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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