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Mathematics 13 Online
OpenStudy (anonymous):

a bag contains 6 green marbles, 2 blue marbles and 3 white marbles, gwen draws 1 marble from the jar and replaces it. jeff draws one marble from the jar. what is the probability gwen draws a blue marble and jeff draws a white marble?

OpenStudy (inkyvoyd):

so are these two events dependent or independent?

OpenStudy (anonymous):

dependent

OpenStudy (inkyvoyd):

Why do you say that?

OpenStudy (anonymous):

because what one does effects the total.

OpenStudy (paki):

2/11 * 13/11 ... solve now..

OpenStudy (paki):

sorry... 2/11*3/11

OpenStudy (inkyvoyd):

I'm going to have to say they are independent actually... if you draw a marble from the jar and you replace it, the result of the second event has nothing to do with the result of the first event. Does that make sense?

OpenStudy (anonymous):

Yes.

OpenStudy (inkyvoyd):

so we can treat them as two seperate events. When we have two separate events, to find the probability of BOTH happening, you simply multiply the probability of one event by the probability of the other event. So in this case, what are the probailities of the two events?

OpenStudy (anonymous):

got it. 2 / 11 * 3 /11

OpenStudy (inkyvoyd):

yeah, as @paki said earlier. So you just multiply the two, and you get your answer :)

OpenStudy (paki):

@jtsavitch take out calculator now and find it out :-)

OpenStudy (anonymous):

.05.

OpenStudy (anonymous):

Thank you all so much.

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