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ACT Mathematics Videos 164 videos

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The Probabilities of Dice 350 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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