SOLUTION: Urn 1 contains 1 red and 9 white balls. Urn 2 contains 8 red and 1 white balls. A ball is drawn from urn 1 and placed in urn 2. Then a ball is drawn from urn 2. If the ball from ur

Question 1058275: Urn 1 contains 1 red and 9 white balls. Urn 2 contains 8 red and 1 white balls. A ball is drawn from urn 1 and placed in urn 2. Then a ball is drawn from urn 2. If the ball from urn is red, what is the probability that the ball drawn from urn 1 is red?
I was able to complete the diagram reflecting the numbers in decimal as shown form the textbook.
However, I don't understand the last 2 parts. The numeric value of the probability of the product from branch probabilities leading from R through R? Do you multiply the top two sections leading form R to R? Which in this case would be 0.3*05?
Also, on the last part to obtain the 2nd number to divide by. The sum of all branch points leading to R?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
So look at it from the possible choices,
W1,W2- White ball chosen from Urn 1, White ball chosen from Urn 2
W1,R2
R1,W2
R1,R2
Look at the corresponding probabilities,

So there are two possibilities when the urn 2 ball is red, times it occurs because the urn 1 ball was white and times it occurs because the urn 2 ball was red. That makes a total of times. occur because of urn 1 ball is white, because the urn 1 ball is red.

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