two urns contain white balls and yellows balls. the first urn contains 8 white balls and 9 yellow balls and the second urn contains 5 white balls and 9 yellow balls. a ball is drawn at random from each turn. what is the probability that both balls are white.

Question

two urns contain white balls and yellows balls. the first urn contains 8 white balls and 9 yellow balls and the second urn contains 5 white balls and 9 yellow balls. a ball is drawn at random from each turn. what is the probability  that both balls are white.

johnweldon1993 · Answer

okay so in total we have 8 white and 9 yellow in urn 1...so 17 total.

second urn we have 5 white and 9 yellow...so 14 total

the chance of choosing a white ball from urn 1 is 8/17 right?

and from urn 2 is 5/14

so add those 2 probabilitys

8/17 + 5/14

common denominator is 238

14/14(8/17) + 17/17(5/14)

112/238 + 85/238

197/238

I dont know if it can be simplified but thats what I get

johnweldon1993 · Answer

Nope cant be simplified so thats the answer

anonymous · Answer

thank you

johnweldon1993 · Answer

anytime :)