MHB Did I Correctly Complete the Tree Diagram?

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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 'Significant figures for inherently bound values'

I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...
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