<pl-question-panel>
<markdown>
Consider the following probability distribution $P(X)$ and its event space $x$.
</markdown>
<pl-dataframe params-name="df" show-python="false"></pl-dataframe>
</pl-question-panel>
<pl-card>
<pl-question-panel>
<markdown>
What is the sum of $P(X)$ over all possible values of $x$?
</markdown>
</pl-question-panel>
<pl-number-input answers-name="p_sum" label="$\sum_i P(X_i)=$"></pl-number-input>
<pl-question-panel>
<hr>
</pl-question-panel>
<pl-question-panel>
<markdown>
Consider all $x$ events, which has the largest probability to occur?
</markdown>
</pl-question-panel>
<pl-integer-input answers-name="big_event" label="$X=$"></pl-integer-input>
</pl-card>