Question

1. at a restaurant, the probability that a customer orders water with their meal is 80%. what is the probability that in a group of 5 people, all 5 will order water?

Explanation:

Step1: Identify the probability for one customer

The probability that a single customer orders water is \( 80\% = 0.8 \).

Step2: Use the multiplication rule for independent events

Since the orders of each customer are independent, the probability that all 5 customers order water is the product of the probabilities for each customer. So we calculate \( 0.8^5 \).
\( 0.8^5 = 0.8\times0.8\times0.8\times0.8\times0.8 = 0.32768 \)

Answer:

The probability that all 5 people will order water is \( 0.32768 \) (or \( 32.768\% \)).