Assume that the box contains 6 balls: 1 white, 2 yellow, and 3 green. Balls are drawn in succession without replacement, and their colors are noted until a white ball is drawn. How many outcomes are there in the sample space?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Assume that the box contains 6 balls: 1 white, 2 yellow, and 3 green. Balls are drawn in succession without replacement, and their colors are noted until a white ball is drawn. How many outcomes are there in the sample space?

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

I thought there should be 33 in the space but its wrong
12C3 = 12! / (9! 3!) = 12 * 11 * 10 / (3 * 2 * 1) = 220 different combinations of three balls among the 12 balls in the box. This is the number of different possible 3-ball draws. There are 6C3 = 6! (3! 3!) = 20 combinations of 3 balls that are all red. There are 4C3 = 4 combinations of 3 balls that are all blue. There are no combinations of 3 balls that are all green. So the probability of drawing 3 balls the same color, without replacement, is (20 + 4) / 220 = 24/220 = 6/55 = about 10.9%
there are no red balls in this problem

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

?? Let me re-do. This was my problem, I've had this before.
ok
I did this awhile ago, mine was just with red instead of white, so I'm not sure.
|dw:1441343388675:dw|
so there are 6?
nono so w can be drawn either 1s 2nd 3rd... or 6th
for each of these 6 cases u can have different combinations of balls before
right so how do i find out how many outcomes there are
I don't know ;(
okay so take a random case see if we can figure out a pattern because i dont like this method it looks too long
lets say for w showing up on the 4th try _ _ _ W that means we have 3 places for ,2 red and 3 green
no red just yellow
that means we either have 3 green,2, green or 1 green in there
true
|dw:1441344028052:dw|
just 3 possiblites
but i dont wanna count like this, theres gonna be a permutation adn combination way of getting 3
we have 3 spots, 3 Green,2 Yellow* to fill those 3 spots
ok
hmmm
would it be 35?
how did u get that
well I originally made a tree chart and came up with 33
hmmm
|dw:1441344262286:dw|
ugh thats too annoying
Ik, is there a faster way to do it?
thats what im trying to think about
I think i missed a W on my chart so I think it 34
Got it :D

Not the answer you are looking for?

Search for more explanations.

Ask your own question