Instructions are on the picture below

6. In a ballot box there are n ballots, k of them with \"yes \"marked, the rest 11 - k with n no \"is marked. Let n, k E N be given, non-random natural numbers with k s 11. Now all ballot papers are taken out one after the other, one at a time Step conditionally evenly distributed on the ballot papers previously taken among all still in ballot papers in the urn. For t E [n] = {1, ..., n}, B t denotes the event that the t-th ballot taken is a yes vote. Let F 5 denote the c-algebra for s E [n] , which is generated by the B l with t E [s], and F = (F s ) sE [n] the associated ltration. (a) (3 points) Give explicitly a probability space (9, A, P) and events B t E A, t E [11], therein, which describe the random experiment described above. At this Subtask is no proof required. (b) (4 points) Calculate P (B 11 IF 5 ) for s E [n - 1]. Note: A calculation of the factored conditional probabilities P(Bn| 151=b 1 , ..., 1 a.=bs)foroccurringvaluetuples (b1 , ...,bs)Cal'le solved help