MHB How Do I Correctly Subtract All Black Hands in Part (d)?

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AI Thread Summary
In part (d), the user realizes their error in subtracting the "all black" hands without also accounting for the "all red" hands. They acknowledge that subtracting only the black hands leaves the total still including the red hands. This oversight highlights the importance of considering all relevant categories when performing such calculations. The user expresses a sense of clarity after receiving feedback on their mistake. Correctly subtracting both categories is essential for accurate results.
Micky1964
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Can someone tell me where I'm going wrong here in part (d)?

Screen Shot 2021-09-25 at 8.01.10 pm.png

Answers from textbook:
Screen Shot 2021-09-25 at 8.01.28 pm.png

My attempt:
IMG_2935.JPG

Apologies for the blurry photo.
 
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Someone just pointed out to me my rather obvious mistake...When I subtract the 65780 "all black" hands, the rest of the hands will also still include the 65780 "all red" hands, so I should subtract those as well.
Funny how these things seem obvious in hindsight.
 

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