Understanding Bayes Theorem with an Example: 0.72 or 0.28?

[shivajikobardan]

https://lh4.googleusercontent.com/FCqUErWAqlG8w0CskhcsLgpG91xyxzAkV_nD-bZAq8147-_RKesQDpglwqF5ylKZ0Q6VW88jX-KNuIpSXi9vhw5AiWmwiv_fMyyUo_WWZJG4uwWS0aB-3rGMA0h0PDo7ZpolexCe
this is the question



Here is a tutorial video but his steps are very confusing to me. I personally know bayes theorem and have already studied probability and got good marks in it(It may not be a metric for being quality in it given that it is nepal we are talking about.)
https://courses.engr.illinois.edu/ece448/sp2020/slides/lec15.pdf
here is the slide I'm referring to. The answer seems 0.72 or 0.28 according to video.

 

[Future Bruno]

The answer is 0.72. The formula for Bayes' theorem is P(A|B) = (P(B|A) * P(A)) / P(B), where P(A) and P(B) are the probabilities of events A and B, respectively, and P(A|B) is the probability of event A given that event B has already occurred. In this case, P(A) is the probability of it being a cat (0.72), P(B) is the probability of the image being of a cat (1), and P(B|A) is the probability of the image being of a cat given that it is actually a cat (1). Therefore, P(A|B) = (1 * 0.72) / 1 = 0.72.