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A construction company has bid on two contracts. The probability of winning contract A is 0.35....

A construction company has bid on two contracts. The probability of winning contract A is 0.35. Given the company wins contract A, the probability of winning contract B is 0.40. Given the company loses contract A, the probability of winning contract B decreases to 0.15. Given the information that the company won contract B, what is the probability that they also won contract A?

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