Question

a school cafeteria wants to find out what combinations of food and beverage students are ordering. the results are represented in the two-way table below: food pizza hamburger salad water 11 7 23 beverage slurpee 18 19 5 soda 28 12 14 of the students who ordered pizza, what is the probability that a student also ordered a soda? a.) b.) c.) d.)

Answer 1

The probability that a student who ordered pizza also ordered a soda is approximately 2.545.

How to find the probability

To find the probability that a student who ordered pizza also ordered a soda, we need to calculate the conditional probability.

Let's denote the event of ordering pizza as P and the event of ordering soda as S.

We are given the following information from the two-way table:

The number of students who ordered pizza is 11.

Out of those students who ordered pizza (11), the number of students who also ordered soda is 28.

To calculate the conditional probability, we use the formula:

P(S|P) = P(S ∩ P) / P(P)

P(S|P) represents the probability of ordering soda given that the student ordered pizza.

P(S ∩ P) represents the probability of ordering both soda and pizza.

P(P) represents the probability of ordering pizza.

From the table, we can see that P(S ∩ P) = 28 and P(P) = 11.

Substituting the values into the formula:

P(S|P) = 28 / 11

Calculating this expression:

P(S|P) ≈ 2.545

Therefore, the probability that a student who ordered pizza also ordered a soda is approximately 2.545.