Probability Concepts and Problems

This video tutorial introduces the concept of probability, explaining how to calculate it using sample spaces. It covers examples involving coin flips and dice, demonstrating how to determine the probability of various events. The tutorial also discusses the range of probability values and provides practical problems to solve. The video concludes with additional resources for further learning.

What is the probability of an event that cannot happen?

• 2

• 1

• 0.5

• 0

If a fair coin is flipped, what is the sample space?

• Heads

• Tails

• Heads or Tails

• Neither

How many possible outcomes are there when flipping two coins?

• 2

• 5

• 3

• 4

What is the probability of getting at least one head when flipping two coins?

• 3/4

• 1/2

• 1

• 1/4

When flipping three coins, what is the probability of getting exactly one tail?

• 5/8

• 3/8

• 1/8

• 7/8

What is the probability of rolling a 2 on a six-sided die?

• 1/3

• 1/6

• 1/2

• 1

What is the probability of rolling a number greater than 3 on a six-sided die?

• 1/6

• 2/3

• 1/3

• 1/2

What is the probability of rolling a number that is at most 4 on a six-sided die?

• 5/6

• 1/3

• 1/2

• 2/3

What is the probability of rolling a number less than or equal to 5 on a six-sided die?

• 1

• 5/6

• 2/3

• 1/6

Which of the following topics is NOT mentioned as a related topic in the conclusion?

• Mutually exclusive events

• Bayesian inference

• Conditional probability

• Independent events