From d4154cd83d1639d78880b59391bf0cc013d37476 Mon Sep 17 00:00:00 2001
From: Christopher Sanden <christops@uia.no>
Date: Tue, 24 Feb 2026 20:13:47 +0100
Subject: [PATCH] Most of obligatory assignment 1c done

---
 ...ig 1c - Kombinatorikk og sannsynlighet.pdf | Bin 0 -> 126188 bytes
 Oblig1C/Oblig1C.Rproj                         |  13 +++++
 Oblig1C/Oppg3RSript.R                         |  50 ++++++++++++++++++
 Oblig1C/Oppg3Venn.svg                         |  49 +++++++++++++++++
 Oblig1C/Oppg4RScript.R                        |   0
 5 files changed, 112 insertions(+)
 create mode 100644 Oblig1C/Oblig 1c - Kombinatorikk og sannsynlighet.pdf
 create mode 100644 Oblig1C/Oblig1C.Rproj
 create mode 100644 Oblig1C/Oppg3RSript.R
 create mode 100644 Oblig1C/Oppg3Venn.svg
 create mode 100644 Oblig1C/Oppg4RScript.R

diff --git a/Oblig1C/Oblig 1c - Kombinatorikk og sannsynlighet.pdf b/Oblig1C/Oblig 1c - Kombinatorikk og sannsynlighet.pdf
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diff --git a/Oblig1C/Oblig1C.Rproj b/Oblig1C/Oblig1C.Rproj
new file mode 100644
index 0000000..8e3c2eb
--- /dev/null
+++ b/Oblig1C/Oblig1C.Rproj
@@ -0,0 +1,13 @@
+Version: 1.0
+
+RestoreWorkspace: Default
+SaveWorkspace: Default
+AlwaysSaveHistory: Default
+
+EnableCodeIndexing: Yes
+UseSpacesForTab: Yes
+NumSpacesForTab: 2
+Encoding: UTF-8
+
+RnwWeave: Sweave
+LaTeX: pdfLaTeX
diff --git a/Oblig1C/Oppg3RSript.R b/Oblig1C/Oppg3RSript.R
new file mode 100644
index 0000000..ba2b2df
--- /dev/null
+++ b/Oblig1C/Oppg3RSript.R
@@ -0,0 +1,50 @@
+install.packages("VennDiagram")
+
+library(VennDiagram)
+
+P_A <- 0.8
+P_B <- 0.2
+P_AB <- 0.1
+
+bare_A <- P_A - P_AB
+bare_B <- P_B - P_AB
+utenfor <- 1 - (bare_A + bare_B + P_AB)
+bare_A
+bare_B
+utenfor
+
+#Sjekk at verdier stemmer
+bare_A + bare_B + utenfor + P_AB
+
+
+#3b
+P_union <- P_A + P_B - P_AB
+P_union
+
+P_A_uten_B <- bare_A
+P_A_uten_B
+
+
+#3c
+P_komplement_intersection <- 1 - P_AB
+P_komplement_intersection
+#DeMorgan's lov sier at P(AB)^c = P(A^c u B^c)
+#Derfor er sannsynligheten den samme
+
+
+#3d
+P_A_gitt_B <- P_AB / P_B
+P_B_gitt_A <- P_AB / P_A
+P_A_gitt_B
+P_B_gitt_A
+#Forskjellen mellom disse to er at P_A_gitt_B er
+#sannsynligheten for at A skjer gitt at B allerede
+#har skjedd - P_B_gitt_A er da sannsynligheten for
+#at B skjer gitt at A allerede har skjedd
+
+
+#Venn Diagrammet
+draw.pairwise.venn(area1 = P_A, area2 = P_B,
+                   cross.area = P_AB, category = c("A", "B"),
+                   fill = c("lightblue", "pink"),
+                   lty = "blank")
diff --git a/Oblig1C/Oppg3Venn.svg b/Oblig1C/Oppg3Venn.svg
new file mode 100644
index 0000000..b3c5335
--- /dev/null
+++ b/Oblig1C/Oppg3Venn.svg
@@ -0,0 +1,49 @@
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diff --git a/Oblig1C/Oppg4RScript.R b/Oblig1C/Oppg4RScript.R
new file mode 100644
index 0000000..e69de29