Make small changes to Instructor NB1

Author: Hugo Bowne-Anderson

notebooks/01-Instructor-Probability_a_simulated_introduction.ipynb

@@ -113,7 +113,7 @@
    "source": [
     "# Computed how many people click\n",
     "clicks = x <= 0.5\n",
-    "n_clicks = sum(pop)\n",
+    "n_clicks = sum(clicks)\n",
     "f\"Number of clicks = {n_clicks}\""
    ]
   },
@@ -411,9 +411,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "**Note:** you may have noticed that the _binomial distribution_ can take on only  a finite number of values, whereas the _uniform distribution_ above can take on any number between $0$ and $1$. These are different enough cases to warrant special mention of this & two different names: the former is called a _probability mass function_ (PMF) and the latter a _probability distribution function_ (PDF). Time permitting, we may discuss some of the subtleties here. If not, all good texts will cover this. I like (Sivia & Skilling, 2006), among many others.\n",
-    "\n",
-    "**HBA: should this note ^ have come earlier?** "
+    "**Note:** you may have noticed that the _binomial distribution_ can take on only  a finite number of values, whereas the _uniform distribution_ above can take on any number between $0$ and $1$. These are different enough cases to warrant special mention of this & two different names: the former is called a _probability mass function_ (PMF) and the latter a _probability distribution function_ (PDF). Time permitting, we may discuss some of the subtleties here. If not, all good texts will cover this. I like (Sivia & Skilling, 2006), among many others.\n"
    ]
   },
   {
@@ -437,7 +435,9 @@
     "We have already encountered joint probabilities above, perhaps without knowing it: $P(A,B)$ is the probability two events $A$ and $B$ _both_ occurring.\n",
     "* For example, getting two heads in a row.\n",
     "\n",
-    "If $A$ and $B$ are independent, then $P(A,B)=P(A)P(B)$ but be warned: this is not always (or often) the case."
+    "If $A$ and $B$ are independent, then $P(A,B)=P(A)P(B)$ but be warned: this is not always (or often) the case.\n",
+    "\n",
+    "One way to think of this is considering \"AND\" as multiplication: the probability of A **and** B is the probability of A **multiplied** by the probability of B."
    ]
   },
   {
@@ -652,13 +652,6 @@
     "**Homework exercise for the avid learner:** verify the above relationship using simulation/resampling techniques in one of the cases above."
    ]
   },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "**TO-DO HBA: include Venn Diagram? Include mention earlier of probability AND being multiplication.**"
-   ]
-  },
   {
    "cell_type": "markdown",
    "metadata": {},
@@ -829,7 +822,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.1"
+   "version": "3.6.6"
   }
  },
  "nbformat": 4,