First Week queez

hi friends
so i was doing the queez of the first week and i think there might be a problem in that… so i Screened shot it (hope that it is a word :smiley: ) and what do you think about it?

S = Number of people who like soccer
B = Number of people who like basketball

P(S \cap \bar B) = \frac{30}{200}
P(S \cap B) = \frac{70}{200}

With this information, you can apply bayes rule to get the solution.