Question

I need this one answer.

The Venn Diagram shows the number of bike and skate club members who bike (circle on the left) or skate (circle on the right).
Compute P (S | B) and write your answer as a decimal. P (S | B) = a0 ways.

Answer 1

https://dalton.owschools.com/media/o_anageo_ccss_2014/10/geo_10b_19_13_venn.gif

Answer 2

HI!!

Answer 3

make a fraction
in the top, put then number of things in the intersection
in the bottom, but the number of things iB

Answer 4

I got 6 as my answer is that right?

Answer 5

heck no!!

Answer 6

lets go slow

Answer 7

first, you are asked for a probability
the answer must be a number between 0 and 1, it cannot be 6

Answer 8

i actually don't see a 6 anywhere in the diagram but no matter
what is the number in the intersection of that diagram (the number in both circles)?

Answer 9

0.17 or 0.16?

Answer 10

yeah lets take it slow then lol

Answer 11

what is the number in the intersection?

Answer 12

5

Answer 13

right there are 5 things in \(B\cap S\) meaning i guess 5 people both bike and skate
that will be the numerator of the fraction (the top)

Answer 14

now what is the total number in B (the total, not just the 20)?

Answer 15

really?
what two numbers do you see in B?

Answer 16

B = Bike on the left

Answer 17

oh 20 is what i see

Answer 18

yes, but that is not ALL that is in B

Answer 19

and 5 as well?

Answer 20

the 20 is outside of the intersection
you have to include the intersection as well

Answer 21

right for a total of ?

Answer 22

25

Answer 23

right

Answer 24

now we can compute the answer

Answer 25

alright how so

Answer 26

\[P(S|B)\]means the probability that you skate GIVEN that you bike
there are 25 people who bike
of those 5 also skate

Answer 27

make a fraction, put the 5 in the numerator and the 25 in the denominator

Answer 28

i got 0.2

Answer 29

ok that looks good since \[\frac{5}{25}=\frac{1}{5}=0.2\]

Answer 30

alright so 0.2 is the answer then correct?

Answer 31

i have a feeling you did not really understand what was going on
go back and look at what we did, convince yourself that
a) it makes sense and
b) it is not that hard

yeah 0.2

Answer 32

Thank you and sorry im not very good with this problems lol

Answer 33

no need to apologize, it is not like you are born knowing it, but it is understandable