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PSAT Math Diagnostic Videos 41 videos

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PSAT 1.5 Math Diagnostic 205 Views


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Description:

PSAT 1.5 Math Diagnostic. What is the probability that a woman over the age of 25 with a Bachelor's Degree earned her degree in either the field of Arts and Humanities or Education?


Transcript

00:00

Thank you We sneak And here's your shmoop du jour

00:05

brought to you by bachelor's degrees Sadly they don't always

00:09

come with a rose Check out the stable on no

00:17

people have seen it according to the table What is

00:19

the probability that a woman over the age of twenty

00:21

five with a bachelor's degree earned her degree in either

00:25

the field of arts and humanities or in education and

00:29

here's a potential answers All right probability gotta lot numbers

00:33

here think about percentages and all that Wait a minute

00:36

Why aren't these women earning bachelor read degrees Is that

00:39

not a thing All right reality television has gotten us

00:42

totally turned around all right So we're given a table

00:45

showing the degrees earned by some surveyed men and women

00:48

and we're told that everyone surveyed is over twenty five

00:52

so we don't even have to worry about that part

00:54

of the problem don't need to check anyone's ideas the

00:56

door questions asking us what the probability is that a

01:00

woman's degree is in the arts and humanities or education

01:04

as opposed to science and engineering business or the mysterious

01:07

other category when finding a probability we're looking for a

01:10

certain number out of the hole For example when we're

01:13

rolling and die we have a one in six chance

01:16

of rolling a five because there's only one five and

01:19

six sides of the dye Likewise in this scenario we're

01:22

going to need to figure out how many women fall

01:24

into two categories were interested in and then divide that

01:28

by the total number of women surveyed Unfortunately we're going

01:31

to be dealing with numbers that are a tad larger

01:34

than in our example it's as if we're working with

01:36

the four hundred twenty one thousand one hundred ninety one

01:39

sided die your heart out dungeons dragons All right first

01:44

up let's add together all the women who got their

01:46

degree in the arts and humanities and those who went

01:49

the education room So forty nine thousand fifty three plus

01:53

two hundred three thousand six hundred eighty one equals two

01:55

hundred fifty two thousand seven hundred forty four Now looking

01:58

at the total row with the bottom we can see

02:00

that all together one hundred twenty one thousand one hundred

02:03

ninety one women were surveyed so we take two hundred

02:05

two thousand seven hundred forty four Divide that by four

02:08

hundred twenty one thousand one hundred one and we get

02:11

almost exactly zero point six or sixty percent which is

02:15

option d and the survey says we totally nailed it

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