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Mathematics 20 Online
OpenStudy (anonymous):

Will medal...Each of two urns contains green and red balls. Urn I contains 8 green balls and 12 red balls. Urn II contains 5 green balls and 8 red balls. If a ball is drawn from each urn, what is P(red and red)?

OpenStudy (anonymous):

first off, why would an urn have a ball in it? that's super disrespectful

OpenStudy (anonymous):

I have no idea... it's not me, it's the school XD

OpenStudy (anonymous):

Seriously, I need help.. I keep getting the same answer, and it's not one of the answer choices listed.

OpenStudy (drbcaptin):

What are your answer choices?

OpenStudy (anonymous):

My answer choices are: A. 79/55 B. 24/65 C. 20/33 and D. 2/13

OpenStudy (drbcaptin):

I got B. 24/65

OpenStudy (anonymous):

Thanks. How did you get that though? I don't understand what I was doing wrong.

OpenStudy (drbcaptin):

How did you try and work it out?

OpenStudy (anonymous):

I found the probability of them individually, then multiplied the two fractions.

OpenStudy (drbcaptin):

Since the trials are independent of each other, meaning whatever you get out of the first urn doesn't change what you can get out of the second urn, there is a nifty formula that we have, P(AandB)=P(A)∗P(B) and for your problem, you have that P(A) is the probability of getting a red ball out of the first urn, and the P(B) is the probability that you get a red in the second urn.

OpenStudy (anonymous):

Ohhhh okay. Thanks again! I understand c:

OpenStudy (drbcaptin):

No problem!!

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