Question

The table lists the number of Wednesdays on which the Norton Middle School

cafeteria served each of four different entrées and each of three different desserts
during the previous school year. If the entrée and dessert served each Wednesday
were selected independently and randomly, based on this data, what is the
probability that the Norton Middle School cafeteria served pizza and lemon cake
on the first Wednesday of the previous school year? Express your answer as
common fraction.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The probability of serving pizza on a Wednesday is $\frac{18}{30}=\frac{3}{5}$, and the probability of serving lemon cake on a Wednesday is $\frac{16}{30}=\frac{8}{15}$. Since the entrée and dessert are selected independently and randomly, the probability of serving pizza and lemon cake on a Wednesday is $\left(\frac{3}{5}\right)\left(\frac{8}{15}\right)=\boxed{\frac{4}{25}}$.