Sinterklaas Inc. make two kinds of advent calendar. Type A contains 8 pieces of marzipan and 16

Question:

Sinterklaas Inc. make two kinds of advent calendar. Type A contains 8 pieces of marzipan and 16 pieces of chocolate. Type G contains 16 pieces of marzipan and 8 pieces of chocolate. They make 3 times as many A calendars as G calendars. You have bought one of their advent calendars, but do not know which.

(a) What are the probabilities that you bought the respective calendars?
That is, what are P(A) and P(G)?

(b) On December 2nd you have opened 2 hatches, and you got 2 marzipan.
Use this to update the probabilities that you bought the respective calendars.

(c) What is the probability that you will get marzipan in your calendar on December 3rd?

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