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Probability Videos 45 videos

SAT Math 1.3 Statistics and Probability
276 Views

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
380 Views

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
358 Views

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...

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The Probabilities of Dice 351 Views


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Description:

ACT Math: Pre-Algebra: Drill 6, Problem 3. What is the probability of rolling two dice and getting a one on each?

Language:
English Language

Transcript

00:03

Here's an unshmoopy question you may find on an exam somewhere in life...

00:06

What is the probability of rolling two dice and getting a one on each?

00:11

And here are the potential answers...

00:17

OK, so what is this question asking?

00:18

It's all about odds.

00:20

So we are in Vegas, baby and we're rollin' for mama's new pair of shoes.

00:25

The key issue here that often eludes people is that the dice rolls are independent events.

00:31

That is, we could roll a 4 eight times in a row and our odds of rolling a 4 on the NEXT

00:36

roll are... still 1 in 6.

00:37

So in this case, the odds of a 1 are 1 in 6; then on the second roll, the odds are still

00:44

a 1 in 6.

00:46

When we have successive independent events, we just multiply them.

00:51

So we multiply 1 sixth times 1 sixth and get 1 thirty-sixth -- that's the odds of a

00:56

1 and a 1 on consecutive rolls.

00:59

Our answer is E.

01:01

As in, "Eye in the sky."

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