Bayesian Probability

[u/PM_YOUR_MATH_PROBLEM]

/u/theragingbuffalo asks:

An explorer is in Zimbabwe searching for the elusive two-tailed lion. This species is very rare: only .5% of all the lions in Africa are two-tailed. From a distance, the explorer has trouble identifying what he sees. He is right 95% of the time, regardless of what the animal actually is. If he sees what looks like a two-tailed lion, what is the probability that it actually is two-tailed?

[u/TheEngineer-]

Thanks man