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Mathematics 17 Online
OpenStudy (howard-wolowitz):

There are 3 red marbles, 4 white marbles, and 1 green marble in a bag. Marbles are drawn without replacement. What is the probability that 3 marbles can be drawn without drawing the green marble?

OpenStudy (anonymous):

0.670

OpenStudy (howard-wolowitz):

ok interesting, how did you get that? can you show me just a little

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

because there are 8 total marbles, which means that 7 out of the 8 marbles in the bag are not green. So, the probability of not drawing a green marble is 7/8. To draw 3 marbles that aren't green, you multiply 7/8 * 7/8 * 7/8 , which will = .670. Did that help?

OpenStudy (zarkon):

the sampling is without replacement

OpenStudy (zarkon):

not with replacement

OpenStudy (howard-wolowitz):

what is the difference involving my question

OpenStudy (anonymous):

what do u mean?

OpenStudy (zarkon):

it makes the answer not .670

OpenStudy (howard-wolowitz):

i dont get how it cn be drawn without placement

OpenStudy (zarkon):

if the sampling was with replacement then the answer would be .670 but it is not with replacement

OpenStudy (howard-wolowitz):

ok i understand what your saying, then how do you work this without placement? it cant be that different, can it?

OpenStudy (zarkon):

it's not that different

OpenStudy (zarkon):

you still have 7/8 for the first draw for the second draw there is one fewer marble so the probability of not green is 6/7 and then 5/6 for the third multiply together

OpenStudy (howard-wolowitz):

ok so 0.625

OpenStudy (zarkon):

yes

OpenStudy (howard-wolowitz):

alright cool, thakn for the help you two

OpenStudy (anonymous):

Welcome i tried... XD

OpenStudy (howard-wolowitz):

i know np

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