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In a study of senility, patients thought to be suffering from either senile dementia or arteriosclerotic...

In a study of senility, patients thought to be suffering from either senile dementia or arteriosclerotic cerebral degeneration were identified. Upon death, autopsies were performed on their brain tissue. It was found that 35% had senile dementia, 45% had arteriosclerotic cerebral degeneration, and 25% showed evidence of both.

What is the probability that a patient will have senile dementia given that they have arteriosclerotic cerebral degeneration

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