Question

During a given month, P(A)=0.75,P(B)=0.6, and
P(A and B)=0.5. Are these two events independent? Are they mutually exclusive?

yes;yes
yes;no
no;yes
no;no
it cannot be determined

Answer 1

If event A and event B are independent events, then

P(A and B) = P(A) * P(B)

Answer 2

If event A and event B are mutually exclusive events, then

P(A and B) = 0

this can be represented by 2 circles that don't overlap. The lack of the overlapping region means it's impossible to land in both regions at the same time

Answer 3

is that no, no?

Answer 4

o i think no yes is this right

Answer 5

In this case, is P(A and B) = 0 true?

Answer 6

true

Answer 7

ooppps no

Answer 8

yeah, P(A and B) = 0 is false in this problem since they gave you P(A and B) = 0.5

Answer 9

how about P(A and B) = P(A) * P(B) ?

Answer 10

false

Answer 11

why false?

Answer 12

um not 100%

Answer 13

P(A and B) = 0.5 is given

what is P(A) * P(B) equal to?

Answer 14

sorry not sure

Answer 15

0.6

Answer 16

P(A)=0.75,P(B)=0.6

so

P(A) * P(B) = ??

Answer 17

0.75

Answer 18

you just multiply the two, that's what P(A) * P(B) means

Answer 19

450

Answer 20

that's way too high

Answer 21

.45

Answer 22

yes

Answer 23

so we're given P(A and B) = 0.5

but yet P(A) * P(B) = 0.45

0.5 and 0.45 aren't equal, therefore, P(A and B) = P(A) * P(B) is false

so A and B are NOT independent events

Answer 24

P(A and B) = P(A) * P(B) has to be true for A and B to be independent

Answer 25

thank you!!

Answer 26

so somehow, A changes B or B changes A

Answer 27

np

Answer 28

correct answer is actually no;no.......

Answer 29

yeah that's what I said above