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Mathematics 13 Online
OpenStudy (leozap1):

Eli has 8 black pens and 5 blue pens in his desk drawer. He also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters in his pencil case. If he chooses one pen and one highlighter without looking, what is the probability that he will get a blue pen and he will not get a yellow highlighter? 5/52 6/13 2/13 15/52

OpenStudy (priyar):

First find how many pens are there in total and in each colour?

OpenStudy (welshfella):

no there are 13 pens and 12 high;fighters

OpenStudy (anonymous):

okay now what would you normally do next?

OpenStudy (leozap1):

Okay

OpenStudy (anonymous):

yes ^

OpenStudy (leozap1):

Idk what to do to solve it

OpenStudy (welshfella):

now what is the probability of picking a blue pen from the 13 pens?

OpenStudy (leozap1):

5/13?

OpenStudy (anonymous):

well then you need to reveiw the lesson

OpenStudy (welshfella):

P(blue pen) = number blue pens / total number of pens

OpenStudy (anonymous):

or atleast write notes next time :)

OpenStudy (welshfella):

5/13 is correct

OpenStudy (leozap1):

Mc, if you're not going to help don't comment. I came here because I didn't know how to solve the problem. I'm behind in class, so I don't know all the material.

OpenStudy (leozap1):

So there is a 3/12 chance fora yellow highlighter?

OpenStudy (welshfella):

now the next thing to work out is the probability of not getting a yell highlighter

OpenStudy (welshfella):

3/12 is for getting a yellow - you want the probability of getting any other colour but yellow

OpenStudy (leozap1):

9/12?

OpenStudy (welshfella):

yes dead right

OpenStudy (leozap1):

So I just multiply 9/12 * 5/13?

OpenStudy (welshfella):

now since the 2 picks are independent of each other to get p(blue pen and non yellow) you multiple the probe

OpenStudy (welshfella):

yes correct \good job

OpenStudy (leozap1):

I got 15/52 when I multiplied them, is that right?

OpenStudy (welshfella):

yep

OpenStudy (leozap1):

Yay thanks! I've got a bunch of these kind of problems so this really helps me. :)

OpenStudy (welshfella):

yw

OpenStudy (welshfella):

when looking at combined probabilities the operative words are ADD and OR add = multiply probabilities or = add probabilities

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