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Statistics and Probability Videos 134 videos
Statistics, Data, and Probability I: Drill Set 3, Problem 5. What is the probability that the sum of the two rolls adds up to 9?
Statistics, Data, and Probability I: Drill Set 4, Problem 1. What is the probability of obtaining both a vowel and an odd number?
Statistics, Data, and Probability I: Drill Set 4, Problem 2. On the upcoming spin, what is the probability of obtaining either a vowel or an even n...
Using Trees 212 Views
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Description:
Transcript
- 00:00
Thank you We sneak in Using trees allah shmoop all
- 00:08
right we admit it We're total tree huggers the big
- 00:11
leafy things Those are okay too way actually met these
- 00:16
guys well in math trees are a tough place to
- 00:19
build a nest there not as pretty in the fall
Full Transcript
- 00:21
and you can't carve your initials into their trunk Man
- 00:24
are they useful Any time we're looking to derive probabilities
- 00:27
from a scenario A tree can do the trick We'll
- 00:33
show you what we mean with tree tree tree lovers
- 00:37
have thrown a function saplings into a wheel girl and
- 00:40
they've asked you to randomly pick one plan No idea
- 00:43
why they've asked you to do it You must have
- 00:45
a trustworthy face anyway you're told there's an even split
- 00:50
between disingenuous and coniferous tree saplings and the root balls
- 00:55
are wrapped in an even distribution of red blue and
- 00:58
green burlap heart So there's no link between tree type
- 01:03
and burlap rapping You might have a decision tree wrapped
- 01:06
in red blue or green and the same with the
- 01:08
first one Yeah no not the carnivorous ones Side there
- 01:16
Park is worse than their bite Are We confined all
- 01:20
the possible combinations by making a tree at one of
- 01:23
these things So we start with our trunk at the
- 01:25
top All right so our tree is a little inverted
- 01:30
And we have two main branches assiduous in coniferous each
- 01:34
with a fifty fifty chance of being chosen So we
- 01:36
label each zero point five for each type Three There
- 01:41
are three small branches representing the burlap colors thirty three
- 01:45
percent chance for each of those So will a bullet
- 01:48
point Three three Right now to get the odds of
- 01:52
anyone combination being drawn we simply multiply the first percentage
- 01:56
by the second chances of drawing a kanye first tree
- 01:59
with a blue burlap point five times point three three
- 02:03
that time seems really important which equals point one six
- 02:06
or sixteen percent What if we don't have an even
- 02:09
distribution of three types are a little worried If we
- 02:12
have a seventy five percent disingenuous and twenty five percent
- 02:15
coniferous distribution way simply label them point seven five and
- 02:19
point two five instead right here Now our odds of
- 02:22
picking certain combinations will be different but we can still
- 02:25
figure him out by using our tree green disingenuous Well
- 02:28
just point seven five times Point three three Right here
- 02:31
and equals point two five Blue coniferous Well point two
- 02:35
five here Times point through three here and you get
- 02:37
point away Three or eight point three percent What if
- 02:40
we want to know the chances of getting a green
- 02:42
decision for blue coneflowers Well easy We just add the
- 02:47
two individual probabilities together they'll point two five plus point
- 02:51
eight three equals point three Three or thirty three percent
- 02:57
By now you can probably see why we're fighting so 00:02:59.09 --> [endTime] hard to save this tree Peace man Wow
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