MHB Did I Correctly Complete the Tree Diagram?

AI Thread Summary
The discussion focuses on verifying the accuracy of a tree diagram completed by a user. A key point highlighted is a typo in the probability calculation for the third entry in the rightmost column, where 11/12 multiplied by 1/12 should equal 11/144. Participants confirm that this is a minor error and that the rest of the diagram appears correct. The question arises whether the answer for part (b) is simply 11/144, indicating a need for clarification on the overall accuracy of the diagram. The conversation emphasizes the importance of precise calculations in probability diagrams.
karush
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https://www.physicsforums.com/attachments/1163

well first want to see if i completed the tree diagram correctly
text in the boxes are mine.
 
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In the rightmost column of probabilities, third from the top, you want 11/12 X 1/12 = 11/144. I can tell this is only a typo. Otherwise looks good.
 
MarkFL said:
In the rightmost column of probabilities, third from the top, you want 11/12 X 1/12 = 11/144. I can tell this is only a typo. Otherwise looks good.

Yep typo, so is the answer for (b) just 11/144
 
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Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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