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Description:
Statistics, Data, and Probability I: Drill Set 6, Problem 4. What is the probability of rolling a four and then rolling an even number on a fair-numbered die?
Transcript
- 00:03
Here's a boring, unshmoopy question you'll find on an exam somewhere in life.
- 00:08
What is the probability of rolling a four and then rolling an even number on a fair-numbered die?
- 00:15
And here are the potential answers...
- 00:17
It's a vanilla two-step dance in Probabilityland.
- 00:21
There are 6 sides to a die.
Full Transcript
- 00:23
As long as you're not engaged in a role-playing game in your parents' basement.
- 00:30
Rolling any one number carries a 1 in 6 chance.
- 00:34
Then we roll a second time and, since there
- 00:36
are 3 even numbers out of six...
- 00:39
...our odds are 3 out of 6 or 1 out of 2 on that second die...
- 00:43
... or 50-50 in gambler lingo.
- 00:45
To get the total odds of both things happening,
- 00:49
we just multiply them -- and we get: 1/6 times 1/2 which is one-twelfth...
- 00:54
and the answer is B.
- 00:56
In gambler lingo, we're guessing that would be 50... 600?
- 01:01
Doesn't have quite the same ring to it as that 50-50 thing...
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