Question

Tell if the events are independent or dependent. Explain your reasoning.

A small box is filled with 50 marbles. There are 15 red marbles, 15 blue marbles, 10 purple marbles, 5 yellow marbles, and 5 black marbles in the box. A yellow marble is drawn from the box, is not replaced, and then a black marble is drawn.

Answer 1

I would say that this is an Independent set of events. The definition of an independent event is: When the occurrence of one event does not affect the likelihood that the other event will occur.
The definition of an dependent event is: When the occurrence of one event does affect the likelihood that the other event will occur.

Seeing as how a yellow marble and a black marble are drawn they do not effect eachother making it an independent event.

Answer 2

After reading the definitions of both what do you think it is?

Answer 3

Since we're NOT replacing the marble, it should be dependent right ?

Answer 4

I think the question was asking if drawing the black marble effected the yellow marble... Or a least thats how i read it

Answer 5

P(black) = 5/50

P(black | yellow) = 5/49

Answer 6

since P(black) != P(black | yellow), both events are dependent

Answer 7

?

Answer 8

oh... ok lol

Answer 9

i must have just not understood the question fully

Answer 10

yeah t'was bit twisted lol if the events are drawing black and drawing yellow without replacing then they look dependent...