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Statistics and Probability Videos 134 videos
SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median...
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...
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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