Find the probability of different scenarios

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The discussion focuses on calculating probabilities related to drawing straws from two bags with different colors. For scenario (a), the probability of drawing two straws of the same color is expressed as a combination of fractions from each bag. In scenario (b), the probability of drawing one red and one green straw is also calculated using fractions. Participants are reminded to evaluate their expressions for final answers and to post homework questions in the appropriate section. The conversation emphasizes the importance of proper categorization for homework-related queries.
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Summary:: Bag A contains 1 white straw, 2 red straws and 2 green straws. Bag B contains 2 white
straws, 2 red straws and 1 green straw. One straw is drawn at random from each bag. Find the
probabilities that
(a) the two straws drawn are of the same colour;
(b) one straw is red and the other one is green.

I don't know if my answers are correct.

My answers are:
a. 1/5*2/5+2/5*2/5+1/5*2/5

b. 2/5*1/5+2/5*2/5
 
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Correct, but please post homework problems in our homework section (I moved the thread).
You should probably evaluate these expressions for final answers.
 
mfb said:
Correct, but please post homework problems in our homework section (I moved the tread).
You should probably evaluate these expressions for final answers.
Ok thx
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
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Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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