Probability of Free Desserts

The video tutorial explains a probability problem where Kai visits a restaurant with a promotion offering a one-fifth chance of a free dessert. Kai visits twice in a week, and the video constructs the probability distribution for the number of free desserts he might receive. It explores the possible outcomes (0, 1, or 2 free desserts) and calculates the probability for each scenario, emphasizing the independence of events. The tutorial concludes by verifying that the probabilities sum to one, ensuring the distribution's correctness.

What is the probability that a customer gets a free dessert at the restaurant?

• 1/5

• 1/4

• 1/3

• 1/2

How many times does Kai visit the restaurant in a week?

• Four times

• Three times

• Once

• Twice

What are the possible values for the random variable X?

• 0, 1, 2

• 0, 1, 3

• 1, 2, 4

• 1, 2, 3

What is the probability that Kai gets zero free desserts in two visits?

• 4/25

• 1/25

• 8/25

• 16/25

What is the probability of not getting a dessert on a single visit?

• 3/5

• 4/5

• 2/5

• 1/5

How many scenarios result in Kai getting one free dessert?

• Three

• Two

• One

• Four

What is the probability that Kai gets one free dessert in two visits?

• 8/25

• 4/25

• 16/25

• 1/25

What is the probability that Kai gets two free desserts in two visits?

• 1/25

• 8/25

• 4/25

• 16/25

What is the total probability of all possible outcomes for X?

• 1.25

• 1

• 0.5

• 0.75

What is the probability of getting a dessert on both days?

• 1/25

• 16/25

• 4/25

• 8/25