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Supposed there are 3 road bikes and 6 mountain bikes in a shed, where 1 road bike is broken and 4 mountain bikes are broken.

Supposed there are 3 road bikes and 6 mountain bikes in a shed, where 1 road bike is broken and 4 mountain bikes are broken. You choose one bike at random and I tell you that the bike you chose is broken. Then what is the probability that the bike you chose is a road bike, knowing it's broken?

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