One of my children just told me that there are birds at the feeder. What is the probability that there is also a cardinal, given that there is definitely a finch?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Let C denote the event that there are finches at my bird feeder. Let F denote the event that there are cardinals at my bird feeder. When I look outside, the probability of finches being there is 40% while the probability of cardinals being there is 30%. Somehow, I have collected data that tells me that the probability of finches being there, given cardinals are there, is 25%. One of my children just told me that there are birds at the feeder. What is the probability that there is also a cardinal, given that there is definitely a finch?
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