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ACT Mathematics Videos 164 videos
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
ACT Math: Pre-Algebra Drill 1.2. What proportion of Jenna's day is spent Wii-swimming?
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?
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.
Full Transcript
- 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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