agulani

Thank you beatthecfa for pointing that out and for the thorough explanation with a textbook example.

I agree that I was not entirely clear on the explanations.

Although the definition I have used for total probability is incomplete the example used was to show the existence of 'an unconditional probability of an event in terms of conditional probabilities' - something aapl was not sure about. The start-up coming up with a better search algorithm is the mutually exclusive and exhaustive scenario. It is pretty much similar to the interest rate examples used in the CFAI books.

And I cannot appreciate enough that you took the time to correct my irregularities. Looking forward to more of these in the future!