Question

The probability that Evan purchases a comic book from the bookstore (event A) is 0.67, and the probability that Glen purchases a comic book from the bookstore (event B) is 0.74. The probability that both Evan and Glen purchase a comic book is 0.2442. Given this information, which statement is true?

Answer 1

Events A and B are independent because P(A|B) = P(A)
Events A and B are dependent because P(A and B) do not egual P(A) x P(B)
Events A and B are dependent because P(A|B)=P(A)

I want to say they are dependent because of the last statement "The probability that both Evan and Glen purchase a comic book is 0.2442"

Answer 2

Events A and B are dependent because P(A|B)=P(A)

Answer 3

Evan and Glen purschasing comic books are independent so Im totally confused.

Answer 4

@terenzreignz can u explain this to me? please

Answer 5

hang on...

Answer 6

Okay, two events are indpendent if and only if P(A and B) = P(A)P(B)
So, is the probability that they both buy comic books the product of their individual probabilities?

Answer 7

yes

Answer 8

and that would make them dependent

Answer 9

Yup.

Answer 10

And by which answer choice? :)

Answer 11

Wait, no, the probability that they both buy comic books is short of the what you get when you multiply 0.67 and 0.74

Answer 12

and THAT makes them dependent.

Answer 13

Events A and B are dependent because P(A|B)=P(A)

Answer 14

No... I already told you what made them dependent, just put it in symbols ^_^

Answer 15

by being short you mean they " do not equal"

Answer 16

yup.

Answer 17

0.67*0.74 = 0.4958
0.4958 does not equal 02.442

Answer 18

ok THANKS!!! This stuff is confusing. :/

Answer 19

yes

Answer 20

Well, no problem, then ^_^

Answer 21

Thanks again!

Answer 22

Events A and B are dependent because P(A|B)=P(A) is not the answer