- #1

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https://www.flickr.com/photos/[email protected]/14122444528/

https://www.flickr.com/photos/[email protected]/14309094635/

- Thread starter kelvin macks
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- #1

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https://www.flickr.com/photos/[email protected]/14122444528/

https://www.flickr.com/photos/[email protected]/14309094635/

- #2

Simon Bridge

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A bag contains marbles: 3 white (W), 5 black (B), 2 yellow (Y)

3 marbles are drawn (without replacement?)

Events:

A = WWY

B = BBX

C = "a special marble that is black" is drawn ...

... where X can stand for any color.

The second attachment has the questions:

(a) Find: (i) P(A) (ii) P(B) (iii) P(C) (iv) P(C|B)

(b) Are events B and C (i) mutually exclusive (ii) independent?

... then there are worked solutions.

None of the questions are numbered.

There are no letter (c) problems numbered 4 or 5 in the attachment.

Guessing that the circled solutions are the one you are interested in - these are for (a)ii and iv.

How would you go about finding the solution?

- #3

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i cant understand part iv, ....sorry the circle doesnt mean anything... can you explain further on part iv please?

A bag contains marbles: 3 white (W), 5 black (B), 2 yellow (Y)

3 marbles are drawn (without replacement?)

Events:

A = WWY

B = BBX

C = "a special marble that is black" is drawn ...

... where X can stand for any color.

The second attachment has the questions:

(a) Find: (i) P(A) (ii) P(B) (iii) P(C) (iv) P(C|B)

(b) Are events B and C (i) mutually exclusive (ii) independent?

... then there are worked solutions.

None of the questions are numbered.

There are no letter (c) problems numbered 4 or 5 in the attachment.

Guessing that the circled solutions are the one you are interested in - these are for (a)ii and iv.

How would you go about finding the solution?

- #4

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(NOTE: There is a far easier method of doing part IV than doing it by Baye's Theorem. Let me know if you want me to share that)

- #5

Simon Bridge

Science Advisor

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What is it about part iv that you don't understand?... can you explain further on part iv please?

Have you attempted it yourself yet? (Never mind the model answer.)

Do you know the formula for a conditional probability?

Adithyan has provided a major hint: "Bayes Theorem".

Do you know what that is?

- #6

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sorry. i havent learn this chapter in school... i just study myself during the holiday. by the way there's no Bayes Theorem in my syllabus. my foundation of probability during secondary school is too weak. i hate the chapter of probability during seconddary school very much. so, i'm having problem now.What is it about part iv that you don't understand?

Have you attempted it yourself yet? (Never mind the model answer.)

Do you know the formula for a conditional probability?

Adithyan has provided a major hint: "Bayes Theorem".

Do you know what that is?

- #7

Simon Bridge

Science Advisor

Homework Helper

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(iv) requires you to learn about "conditional probability".

That is certainly in your course notes - but you may be expected to reason it out too.

afaict: P(C|B) is asking for the probability that you have drawn the special black marble given that the first two marbles drawn are black (but you don't know the third one's color).

This means you have one of: BBW, BBY, BBB - you don't know which it is.

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