Exploring Probability Distribution in IB Math

This video tutorial covers probability distributions, focusing on discrete random variables, probability distribution tables, expected value, and the concept of a fair game. Using a spinner game example, the video explains how to calculate probabilities and expected values, and how to determine a fair game cost. Key concepts include understanding discrete random variables and their outcomes, creating probability distribution tables, and calculating expected values.

What are the three types of distributions covered in the AI SL course?

• Poisson, Uniform, and Exponential distributions

• Continuous, Discrete, and Mixed distributions

• Geometric, Hypergeometric, and Multinomial distributions

• Probability, Binomial, and Normal distributions

What is the probability of spinning an A on the spinner?

• 1/3

• 1/6

• 1/4

• 1/2

What is the prize for spinning a C?

• $1

• $2

• $4

• $7

What does a discrete random variable represent in the spinner game?

• The total prize money

• The number of spins

• The cost to play the game

• The outcome of the spinner

How many outcomes are possible with the spinner?

• 6

• 3

• 5

• 4

What must the sum of the probabilities in a probability distribution table equal to?

• 1

• 0

• 100

• The number of outcomes

What is the expected value of the spinner game?

• $3

• $2

• $4

• $5

What does the expected value represent in the context of the spinner game?

• The total amount of prizes available

• The long-term average result per spin

• The minimum cost to play the game

• The maximum prize one can win

What makes a game 'fair' according to the video?

• When the expected value is 0

• When the prize is higher than the cost

• When all outcomes are equally likely

• When the expected value is 1

What is the cost of playing the game to make it fair?

• $1

• $3

• $2

• $4