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chrispiech · Nov 18, 2023 · 24274ac · 24274ac
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diff --git a/chapters/part3/multinomial/index.html b/chapters/part3/multinomial/index.html
@@ -139,7 +139,7 @@ <h3>Deriving Joint Probability</h3>
  ('R', 'C', 'S', 'S', 'S', 'S', 'S')</code></pre>
 
  <p>First, note that each outcome for assignments to the weeks are mutually exclusive. Then note that the probability of any one outcome will be $(p_S)^5 \cdot p_C \cdot p_R$. The number of unique weeks with the chosen count of outcomes can be derived using the rule for <a href="{{pathToLang}}part1/combinatorics/#perm_indisctinct">Permutations with Indistinct Objects</a>. There are 7 objects, 5 are indistinct from one another:
- $${ {7} \choose {5,1,1} } = \frac{7!}{5!1!1!}$$
+ $${ {7} \choose {5,1,1} } = \frac{7!}{5!1!1!} = 7 * 6 = 42$$
 </p>
 
 <p>Since the outcomes are mutually exclusive, we are going to be adding the probability of each case to itself $\frac{7!}{5!1!1!}$ times. Putting this all together we get the multinomial joint function for this particular case:

diff --git a/en/ProbabilityForComputerScientists.pdf b/en/ProbabilityForComputerScientists.pdf
diff --git a/en/part3/multinomial/index.html b/en/part3/multinomial/index.html
@@ -491,7 +491,7 @@ <h3>Deriving Joint Probability</h3>
  ('R', 'C', 'S', 'S', 'S', 'S', 'S')</code></pre>
 
  <p>First, note that each outcome for assignments to the weeks are mutually exclusive. Then note that the probability of any one outcome will be $(p_S)^5 \cdot p_C \cdot p_R$. The number of unique weeks with the chosen count of outcomes can be derived using the rule for <a href="../../part1/combinatorics/#perm_indisctinct">Permutations with Indistinct Objects</a>. There are 7 objects, 5 are indistinct from one another:
- $${ {7} \choose {5,1,1} } = \frac{7!}{5!1!1!}$$
+ $${ {7} \choose {5,1,1} } = \frac{7!}{5!1!1!} = 7 * 6 = 42$$
 </p>
 
 <p>Since the outcomes are mutually exclusive, we are going to be adding the probability of each case to itself $\frac{7!}{5!1!1!}$ times. Putting this all together we get the multinomial joint function for this particular case:

diff --git a/print/hash_values.json b/print/hash_values.json
@@ -43,7 +43,7 @@
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  "../en/part3/joint/index.html": "dbffbdcff9636a82dd909bb1466e9b41",
- "../en/part3/multinomial/index.html": "338cd46acd6db622364b6f78b962c968",
+ "../en/part3/multinomial/index.html": "395687c4143d5009ee3df30c55d9a16f",
  "../en/part3/continuous_joint/index.html": "8468ebeaa8c44eb7c2059cff4764cca5",
  "../en/part3/inference/index.html": "8c26b53e77d8fdbff3379332ab9a4c04",
  "../en/part3/bayesian_networks/index.html": "4e4c5711fbb7fa358080161e26612989",

diff --git a/print/pdfs/multinomial.pdf b/print/pdfs/multinomial.pdf
diff --git a/print/pdfs/separator_intro.pdf b/print/pdfs/separator_intro.pdf
diff --git a/print/pdfs/separator_part1.pdf b/print/pdfs/separator_part1.pdf
diff --git a/print/pdfs/separator_part2.pdf b/print/pdfs/separator_part2.pdf
diff --git a/print/pdfs/separator_part3.pdf b/print/pdfs/separator_part3.pdf
diff --git a/print/pdfs/separator_part4.pdf b/print/pdfs/separator_part4.pdf
diff --git a/print/pdfs/separator_part5.pdf b/print/pdfs/separator_part5.pdf
diff --git a/searchIndex.json b/searchIndex.json