The two events which are independent are the carne-asada burrito (B) and the customer requested pinto beans (D).
Independent events are those events whose occurrences do not depend on the other events.
A burrito restaurant used the given table to keep track of the numbers of different types of burritos that were sold and the kinds of beans that people requested.
Consider the following events:
The probability of event A is,
[tex]P(A)=\dfrac{83}{240}[/tex]
The probability of event B is,
[tex]P(B)=\dfrac{80}{240}=\dfrac{1}{3}[/tex]
The probability of event C is,
[tex]P(C)=\dfrac{45}{240}=\dfrac{3}{16}[/tex]
The probability of event D is,
[tex]P(A)=\dfrac{72}{240}=\dfrac{3}{10}[/tex]
If the probability of an event is calculated given that the other is happened, only the probability of event B and D we get such that,
[tex]P(B\cap D)=P(B).P(D)\\\dfrac{24}{240}=\dfrac{1}{3}\times \dfrac{3}{10}\\\dfrac{1}{10}=\dfrac{1}{10}[/tex]
Thus, the two events which are independent are the carne-asada burrito (B) and the customer requested pinto beans (D).
Learn more about the independent events here;
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