Question

on average, 3 out of 4 students order spaghetti at the cafeteria when it is on the menu. what is the probability that the first 2 students in line for lunch will have spaghetti if it is on the menu? enter the answer in the space provided. use numbers instead of words.

Explanation:

Step1: Determine the probability for one student

The probability that a single student orders spaghetti is $\frac{3}{4}$.

Step2: Calculate the probability for two independent events

Since the choices of the two students are independent, we multiply the probabilities. So the probability that the first two students both order spaghetti is $\frac{3}{4} \times \frac{3}{4}$.
$$\frac{3}{4} \times \frac{3}{4} = \frac{9}{16}$$

Answer:

$\frac{9}{16}$