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Pembahasan Soal Ujian Profesi Aktuaris

Institusi : Persatuan Aktuaris Indonesia (PAI)
Mata Ujian : Probabilitas dan Statistika
Periode Ujian : November 2018
Nomor Soal : 6

SOAL

Misal A, B, C, dan D memiliki kejadian sebagai berikut:

\(B = A’\)\(;C \cap D = \Phi \)
\(P[A] = \frac{1}{4};P[B] = \frac{3}{4}\,\)
\(P[C|A] = \frac{1}{2};P[C|B] = \frac{3}{4};P[D|A] = \frac{1}{4};P[D|B] = \frac{1}{8}\)

Hitunglah \(P[C \cup D]\)

  1. \(\frac{5}{{32}}\)
  2. \(\frac{1}{4}\)
  3. \(\frac{{27}}{{32}}\)
  4. \(\frac{3}{4}\)
  5. 1
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