In a group of 100 people, 27 speak German, 30 speak Mandarin, 40 speak Spanish, 3 speak all three languages. 12 speak only German, 15 speak only Mandarin and 8 speak Spanish and Mandarin but not German.
a.) Draw a Venn diagram showing this information, and fill in the missing regions.
b.) Find the probability that a randomly selected person speaks only Spanish.
c.) Given that a person speaks Spanish, find the probability that they also speak Mandarin.