Question

Given the following:

p(a)= .72
p(b)=.28
p(a n B)=.14

Find each of the following.

a) the probability of A or BThis is a notation for the probability of A or B.
b) the probability of the complement of AThis is a notation for the probability of the complement of A.
c) the probability of the complement of B

Answer 1

@Loser66 please help

Answer 2

similar to the last one

Answer 3

@satellite73 you must be tired of helping me. thank you

Answer 4

\[P(A\cup B)=P(A)+P(B)-P(A\cap B\]

Answer 5

nah not at all

Answer 6

let me know what you get

Answer 7

okay one sec, i'm a slow processor

Answer 8

is it clear what you have to do? add \(P(A)\) to \(P(B)\) then subtract \(P(A\cap B)\) from the result

Answer 9

yes I understand that

Answer 10

.86?

Answer 11

yes

Answer 12

yay!

Answer 13

second one is easier

Answer 14

for that one, \(P(A^c)=1-P(A)\)

Answer 15

.28

Answer 16

yes

Answer 17

and the last one?

Answer 18

hehe there are 3 more after the last one, would you mind helping me with them as well?

Answer 19

no i don't mind at all, but first tell me what you got for the probability of B compliment

Answer 20

.72 for number 3

Answer 21

ok good

Answer 22

the probability of the complement of A and the complement of BThis is a notation for the probability of the complement of A and the complement of B (or neither A nor B).

Answer 23

wait that would be .14 right?

Answer 24

hold on you last me for a second

Answer 25

the probability of the complement of A and the complement of B (or neither A nor B).

Answer 26

neither A nor B? ok

Answer 27

is that right? .14

Answer 28

that is the compliment of \(A\cup B\)

Answer 29

so first we compute \(P(A\cup B)\) which you already did and got \(.86\)
then you subtract it from 1 and get \(.14\)

Answer 30

yeah looks like you got it !

Answer 31

so do I subtract .14 from one and get .86

Answer 32

wait no?

Answer 33

no you did it right
you subtract \(1-.86\) and get \(.14\) that is the correct answer

Answer 34

oh okay. sorry I was confused for a sec.

Answer 35

the next one is p(a n b^c)

Answer 36

does that make sense?

Answer 37

ok lets go to the picture

Answer 38

okay!

Answer 39

would you tpe in words what the question is asking and I can figure it out

Answer 40

now \(A\cap B^c\) is everything that is in A and that is NOT in B

Answer 41

okay would it be .58

Answer 42

do you understand what i wrote there?

Answer 43

yes

Answer 44

yes I understand it

Answer 45

looks like you got this

Answer 46

any more?

Answer 47

one more! thank you so much you are a lifesaver

Answer 48

no problem

Answer 49

it's p(a^c n b) so I think its everything that is B and NOT a?

Answer 50

yes

Answer 51

.14! thank you so much! I understand. Pictures help a lot. And if you keep seeing me on here don't be alarmed, I have like 10 assignments due by midnight. thanks for all your help

Answer 52

better get busy
is it all probability?

Answer 53

the next two assignments are, then it becomes functions

Answer 54

nothing like waiting until the last minute...

Answer 55

yay?(: haha