Data Science and Machine Learning (Theory and Projects) A to Z - Probability Model: Probability Models Example

The video tutorial explains a probability experiment involving rolling two dice. It covers the concept of sample space, representing it using a matrix, and discusses probability models, including equally likely outcomes. The tutorial calculates the probability of specific events, such as the sum of dice rolls being even or at least one die showing a 4. It concludes with an invitation to explore more examples in future videos.

What is the total number of possible outcomes when rolling two 4-sided dice?

• 8

• 12

• 16

• 24

In a probability model where all outcomes are equally likely, what is the probability of each outcome when rolling two 4-sided dice?

• 1/16

• 1/24

• 1/12

• 1/8

What is a requirement for a valid probability law if outcomes are not equally likely?

• All probabilities must be negative

• Probabilities must sum to more than one

• Each outcome must have a different probability

• Probabilities must be nonnegative and sum to one

How many outcomes result in an even sum when rolling two 4-sided dice?

• 10

• 8

• 6

• 4

What is the probability that the sum of two dice rolls is even?

• 3/4

• 1/2

• 1/3

• 1/4

How many outcomes have at least one die showing a four?

• 7

• 5

• 6

• 8

What is the probability that at least one die shows a four when rolling two 4-sided dice?

• 6/16

• 5/16

• 8/16

• 7/16