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All Comments

In how many ways can exactly 5 green balls or exactly 3 black balls be selected?
A box contains 12 red balls, 7 green balls, and 6 black balls. A sample of 11 is to be picked from the box.

In how many ways can exactly 5 green balls or exactly 3 black balls be selected?
n(A) = ways to get exactly 5 green balls,
n(B) = was to get exactly 3 black balls

reqd. # of ways = n(A) + n(B) - n(A & B)


= (7c5*18c6 + 6c3*19c8 - 7c5*6c3*12c3)

= 1 809 084
--
What is the probability that exactly 2 black balls are chosen?
Three balls are randomly drawn from a bag containing 4 white balls and 6 blacks. What is the probability that there are exactly 2 black balls?

Answer is apparently 1/2

But if you use a probability tree it goes.. P(1 black) = 6/10, P(2 blacks) = 5/9, P(white ball chosen) = 4/8

Then I multiply down the path which gets 1/6.. not 1/2. Am I doing it wrong?
do it simply, using combinations for drawing w/o replacement

[6 black, choose 2]*
[4 white, choose 1] /
[10 total, choose any 3]

= 6c2*4c1 /10c3
= 15*4 / 120
= 1/2
--------
if you go by a probability tree, you will see that there are 3 paths,
BBW, BWB, WBB, each with probability [6/10][5/9][4/8] = 1/6
3* 1/6 = 1/2
Why does my cigarette filters have round black balls at the end that connects to the tobacco?
I was bored and I decided to tear apart my cigarette filter. I have DuMaurier cigarettes. There were round black balls at the one end that connects to the tobacco. What are these things? I know that smoking is already bad but it just scares me to smoke another one of those type.
If anything those help reduce the amount of toxins, but to be honest if your smoking cigarettes the little black balls at the end of the filter really shouldnt worry you. If you are thinking clearly you will realize the entire cigarette is ******* you over. Stick to marijuana. its easier to quit and its healthier. plus you get high out of the experience which is a lot better then the stress relief and calming effects of a cig
What is eating my rose leaves and leaving little black balls?
I can't see a bug, only little black balls on some of the leaves. The pest is eating the leaves completely off, leaving only the stem and main "veins" of the leaf. The plant seems healthy and is blooming, but it just hardly has any leaves. It is surely being eaten, as opposed to mold or rot or something, because I can see the holes and the edges look just like some little teeth ate them.
Snail poop! Slug Poop!You can not see them because they eat mostly at nightfall and are very good at hiding.Snails do not have teeth but they eat as though they do.Turn rocks, or borders over that are near by and I bet you will find the culprits!The slugs are little harder to spot, usually dark wet& looking They stay out of the heat in the day in darker cooler places.
You can sprinkle some snail bait around you plants and it will take care of the problem.
God Bless
Grandma
What is the name of this old guys truck toy. It loaded and unloaded little black balls?
When i was younger I had an old toy that I loved to play with. The toy was a plastic track with a toy truck on it. The truck use to drive around and fill its lorry back with little black balls, then change the type of truck back it had on automatically. Then finally would put the little black balls back again and start over. please help!
I so remember it too. It's called Big Loader
Are small black balls in shed insect eggs?
In my two garden sheds there are dozens of clusters of minute black balls (like eggs) on the ceiling close to the window and hundreds of singles on the shelf below. They are not in the garage or greenhouse.
sounds like mouse sh1ite to me
An urn contains 4 white and 8 black balls. A fair die is rolled and that number of balls is randomly chosen?
An urn contains 4 white and 8 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What is the probability that all the balls selected are white?

What is the conditional probability that the die landed on 3 if all the balls selected are white?
die result P[all white | die result]
1 . . . . . . 4/12 = 1/3
2 . . . . . . [1/3][3/11] = 1/11
3 . . . . . . [1/11][2/10] = 1/55
4 . . . . . . [1/55][1/9] = 1/ 495
5 . . . . . . 0
6 . . . . . . 0

q1
P[all white] = [1/6][165 + 45 + 9 + 1 ] / 495 = 2/27

q2
P[landed on 3 | all white ] = P[landed on 3 & all white] / P[ all white]
= [1/6][1/55] / [2/27]
= 9/220
Suppose you have a bucket containing 50 white balls and 50 black balls. The balls are removed from the bucket?
using the following rules. Two balls are selected at random and examined. If the balls drawn are either both black or both white, a white ball is returned to the bucket (you have a reserve of extra white balls in case the first draw is two black balls). If one of each is drawn, the black one is returned to the bucket. This process is repeated until there is only one ball remaining. What is the probability that the remaining ball is white?
The probability is 1.

The parity of the number of black balls is constant:

if you take 2 out, you leave them out, if you take 1 out you put it back.

If you start with 50 black balls, the parity is even.

So when there is one ball left it can't be black.
What does it mean when a dogs balls turn black?
he has had black balls for several months now. hes 11 years old. im really scared and i really need the advice. someone please help. thank you.
Go to the vet. It could be infected/disease
11 black balls and 8 white balls are placed in an urn. Two balls are then drawn in succession. What is the pro?
11 black balls and 8 white balls are placed in an urn. Two balls are then drawn in succession. What is the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball? (Hint: tree diagram)
there are 4 possibilities from the tree

BB
BW
WB
WW

BB=(11/19)(10/18)
BW=(11/19)(8/18)
WB=(8/19)(11/18)
WW=(8/19)(7/18)

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