ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Statistics and Probability Videos 134 videos
SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?
Using Trees 212 Views
Share It!
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
Related Videos
Statistics, Data, and Probability I: Drill Set 3, Problem 4. How many different avatars can be created based on the given options?
Statistics, Data, and Probability II Drill 3 Problem 2. Which two sports together make up for the preferences of more than half of all those w...
Statistics, Data, and Probability II Drill 3 Problem 3. One hundred twenty of those who were asked preferred what sport?
If you're looking for tips on how to score more free samples at Yogurtland, you've got the wrong video.