Question

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one hour, Ryan served \[6\] parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

Answer 1

82.2%

Explanation:

Since each party is equally likely to order drinks with a probability of 0.75, the probability that a party will not order drinks is 1 - 0.75 = 0.25.

To find the probability that all parties will order drinks, we can multiply the probabilities together.

The probability that all parties will order drinks is 0.75^6 = 0.177978515625.

Therefore, the probability that at least one party will not order drinks is 1 - 0.177978515625 = 0.822021484375.

So, there is about an 82.2% chance that at least one party will not order drinks.