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SAT Math 3.5 Numbers and Operations
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Using Trees 212 Views


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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

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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