Law of Probability question Question: 40% of Vancouverites are avid skiiers, whereas only 20% of people living in Canada are avid skiiers. Vancouverites make up about 2% of the population of Canada. You know that Johann lives in Canada, but you’re not sure where. Given that Johann is an avid skier, what is the probability that he lives in Vancouver?

I need help with this question and your help will be greatly appreciated if you can show me how to set it up and calculate the probability

so Far I set it up as:

A-> Vancouverites are avid skiers (4/10)                                          

b-> People living in Canada are avid skiers (2/10)

c-> Vancouverites make up Canada's pop (0.2/10)
$(0.4)(0.02) = 0.008$

$\frac{0.008}{0.2} = 0.04$

Because 0.8% of the Canadian skiers are Vancouverites. If your a skier in Canada there's a 4% chance that your a vancouverite as 20% of Canadians are skiers.
I could be wrong but for the Pr(S) = Pr(S|V)*Pr(V) + Pr(S/C)*Pr(~V)

making (
Pr(V|S)= Pr(V)*Pr(S|V) )/ ( Pr(S|V)*Pr(V) + Pr(S/C)*Pr(~V))

( (0.02)(0.4) ) / ( (0.02)(0.4)+(0.2)(0.98)

=0.039