In a box there are 6 red, 5 green and 4 white balls. If four balls are selected at random and the color noted, find the probability that none are green given that none are white.
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OpenStudy (anonymous):
i know the answer if that helps, i just need to know how to do it
OpenStudy (paxpolaris):
given that none are white ... so forget all the white balls.
there are 6 red, 5 green balls. 4 balls are selected at random... Find the probability that none are green. ... that means find the probability that all are Red.
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OpenStudy (anonymous):
6/11?
OpenStudy (paxpolaris):
6/11 i the probability of the first ball you pick
what's the probability for the next ball
OpenStudy (anonymous):
does it have to be red?
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OpenStudy (paxpolaris):
yes' all 4 have to be red since none are green
OpenStudy (anonymous):
okay, so i THINK ... 5/10
OpenStudy (paxpolaris):
right ...
OpenStudy (anonymous):
if right then 1/2
OpenStudy (paxpolaris):
then 4/9 for the next and 3/8 for the fourth ball
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OpenStudy (anonymous):
do you add or multiply?
OpenStudy (paxpolaris):
So you answer should be : \[\Large {6 \over 11} \times{5 \over 10} \times{4\over9} \times{3\over8}\]