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
 

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Thread 'Making the denominator of a certain fraction real'

Essentially I just have this problem that I'm stuck on, on a sheet about complex numbers: Show that, for ##|r|<1,## $$1+r\cos(x)+r^2\cos(2x)+r^3\cos(3x)...=\frac{1-r\cos(x)}{1-2r\cos(x)+r^2}$$ My first thought was to express it as a geometric series, where the real part of the sum of the series would be the series you see above: $$1+re^{ix}+r^2e^{2ix}+r^3e^{3ix}...$$ The sum of this series is just: $$\frac{(re^{ix})^n-1}{re^{ix} - 1}$$ I'm having some trouble trying to figure out what to...
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