# Thread: Finding Probability

1. ## Finding Probability

I am experiencing difficulties with the following problem. I don't know how to find the intersection probability of Pr(AnBcomplement). This is just for the first row. I found intersection of a and b which is 0.4, I also found A complement which is 0.3 and b complement which 0.4. Any help would be greatly appreciated.

2. ## Re: Finding Probability

Hi,

Notation: B* = complement of B

Remember that you can use: P(A) = P(A and B*) + P(A and B)

For example for the first row:

we know: Pr(A) = 0.7, Pr(B)=0.6 and Pr(AUB)=0.9

P(AUB) = P(A)+P(B)-P(A and B)

0.9 = 0.7+0.6 -P(A and B)

P(A and B) = 0.4

P(A and B*) = P(A)-P(A and B) = 0.7 - 0.4 = 0.3

P(B and A*) = P(B)- P(B and A) = 0.6 -0.4 = 0.2

Let me know if you need more help

3. ## Re: Finding Probability

Originally Posted by Solid8Snake
I am experiencing difficulties with the following problem. I don't know how to find the intersection probability of Pr(AnBcomplement). This is just for the first row. I found intersection of a and b which is 0.4, I also found A complement which is 0.3 and b complement which 0.4. Any help would be greatly appreciated.
That is a bad file. Word will not open it. Just type out your question.

4. ## Re: Finding Probability

Did i help you ? (the file opens right)

Thanks

5. ## Re: Finding Probability

Originally Posted by MathTutor2013
Did i help you ? (the file opens right)
@MathTutor2013
I take it from your screen name you fancy yourself a tutor for mathematics.
Then why don't you bother to learn the standard mathematics protocol for mathematics type-setting LaTeX?
Don't you think that $P(A\cup B) = P(A)+P(B)-P(A\cap B)$ looks much more professional that P(AUB) = P(A)+P(B)-P(A and B)?

That code is simple [TEX]P(A\cup B) = P(A)+P(B)-P(A\cap B)[/TEX].

On the tool bar the $\Sigma$ gives the [TEX] [/TEX] wrap.

You can use this as a reference.

6. ## Re: Finding Probability

Thank you very much, it's all clear now.
The text passage contains a mathematical question about finding the intersection probability of Pr(AnBcomplement) and provides a detailed answer to this question.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Thread: Finding Probability

1. ## Finding Probability

I am experiencing difficulties with the following problem. I don't know how to find the intersection probability of Pr(AnBcomplement). This is just for the first row. I found intersection of a and b which is 0.4, I also found A complement which is 0.3 and b complement which 0.4. Any help would be greatly appreciated.

2. ## Re: Finding Probability

Hi,

Notation: B* = complement of B

Remember that you can use: P(A) = P(A and B*) + P(A and B)

For example for the first row:

we know: Pr(A) = 0.7, Pr(B)=0.6 and Pr(AUB)=0.9

P(AUB) = P(A)+P(B)-P(A and B)

0.9 = 0.7+0.6 -P(A and B)

P(A and B) = 0.4

P(A and B*) = P(A)-P(A and B) = 0.7 - 0.4 = 0.3

P(B and A*) = P(B)- P(B and A) = 0.6 -0.4 = 0.2

Let me know if you need more help

3. ## Re: Finding Probability

Originally Posted by Solid8Snake
I am experiencing difficulties with the following problem. I don't know how to find the intersection probability of Pr(AnBcomplement). This is just for the first row. I found intersection of a and b which is 0.4, I also found A complement which is 0.3 and b complement which 0.4. Any help would be greatly appreciated.
That is a bad file. Word will not open it. Just type out your question.

4. ## Re: Finding Probability

Did i help you ? (the file opens right)

Thanks

5. ## Re: Finding Probability

Originally Posted by MathTutor2013
Did i help you ? (the file opens right)
@MathTutor2013
I take it from your screen name you fancy yourself a tutor for mathematics.
Then why don't you bother to learn the standard mathematics protocol for mathematics type-setting LaTeX?
Don't you think that $P(A\cup B) = P(A)+P(B)-P(A\cap B)$ looks much more professional that P(AUB) = P(A)+P(B)-P(A and B)?

That code is simple [TEX]P(A\cup B) = P(A)+P(B)-P(A\cap B)[/TEX].

On the tool bar the $\Sigma$ gives the [TEX] [/TEX] wrap.

You can use this as a reference.

6. ## Re: Finding Probability

Thank you very much, it's all clear now.
user
The text passage contains a mathematical question about finding the intersection probability of Pr(AnBcomplement) and provides a detailed answer to this question.

TYPE: SINGLE_QUESTION_WITH_ANSWER