Provide an appropriate response. Express your answer as a simplified fraction unless otherwise noted.
Numbered disks are placed in a box and one disk is selected at random. If there are 4 red disks numbered 1 through 4, and 6 yellow disks numbered 5 through 10, find the probability of selecting a red disk, given that an odd-numbered disk is selected.
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![](data:image/png;base64, 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)
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![](data:image/png;base64, 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)
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