Use There Was an Old Lady Who Swallowed a Fly to answer the questions, below. Note that the title of the song is a part of the corpus!
Did she swallow a fly?
Let’s say we want to know the likelihood that the old lady "swallowed a fly". We need a ratio!
1 p(fly | swallowed a) = $$\displaystyle \frac {\textit{count(swallowed a fly)}} {\textit{count(swallowed a…)}} = {\frac{}{10}}$$
2 The likelihood that the old lady "swallowed a fly" in the excerpt is .
What about the other animals?
Find the ratio representing the likelihood that she swallowed each of the other animals.
3 p(spider | swallowed a) = $$\displaystyle \frac {\textit{count(swallowed a spider)}} {\textit{count(swallowed a…)}} = {\frac{}{10}}$$
4 p(bird | swallowed a) = $$\displaystyle \frac {\textit{count(swallowed a bird)}} {\textit{count(swallowed a…)}} = {\frac{}{10}}$$
5 p(cat | swallowed a) = $$\displaystyle \frac {\textit{count(swallowed a cat)}} {\textit{count(swallowed a…)}} = {\frac{}{10}}$$
6 Across the entire poem, the lady most likely swallowed a .
7 The second most likely option is that she swallowed a .
8 There is an equal probability that she swallowed a or a .
To catch the… ?
Find the ratio representing the likelihood that she caught each of the animals.
9 p(fly | to catch the) = $$\displaystyle \frac {\textit{count(to catch the fly)}} {\textit{count(to catch the…)}} = {\frac{}{6}}$$
10 p(spider | to catch the) = $$\displaystyle \frac {\textit{count(to catch the spider)}} {\textit{count(to catch the…)}} = {\frac{}{6}}$$
11 p(bird | to catch the) = $$\displaystyle \frac {\textit{count(to catch the bird)}} {\textit{count(to catch the…)}} = {\frac{}{6}}$$
The lady was most likely trying to catch the . It is the least likely that she was trying to catch the .
The… ?
12 p(fly | the) = $$\displaystyle \frac{\qquad}{\qquad}$$ |
13 p(spider | the) = $$\displaystyle \frac{\qquad}{\qquad}$$ |
14 p(bird | the) = $$\displaystyle \frac{\qquad}{\qquad}$$ |
15 p(cat | the) = $$\displaystyle \frac{\qquad}{\qquad}$$ |
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
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