Probability Concepts and Calculations

The video tutorial explains the concept of complementary events in probability, using examples like rolling a die. It introduces the notation for events and their complements, and discusses the rules and equations that govern them. The tutorial uses Venn diagrams to visually represent these concepts and provides a real-world example involving favorite sports to demonstrate how to apply probability equations. The video concludes with a summary and suggestions for further learning.

What is the complement of the event of rolling a 1 or a 2 on a die?

• Rolling a 1 or a 2

• Rolling an even number

• Rolling a 3 through 6

• Rolling a 6

What is the sum of probabilities of all outcomes in a sample space?

• 0

• 0.5

• 1

• 2

In a Venn diagram, what does the area outside the circle represent?

• Probability of E prime

• Probability of both E and E prime

• Probability of event E

• Probability of neither E nor E prime

If the probability of event E is 0.35, what is the probability of E prime?

• 0.65

• 0.50

• 1.00

• 0.35

Which equation represents the probability of E prime?

• P(E) - P(E') = 1

• P(E) + P(E') = 0

• P(E') = 1 - P(E)

• P(E) = 1 - P(E')

In a survey of 50 people, how many said football was their favorite sport?

• 29

• 11

• 6

• 3

What is the probability of selecting someone whose favorite sport is not football?

• 0.58

• 0.71

• 0.29

• 0.42

How do you calculate the probability of E prime if you know the probability of E?

• Multiply the probability of E by 2

• Subtract the probability of E from 1

• Add the probability of E to 1

• Divide the probability of E by 2

What is the probability of E if E prime is 0.65?

• 0.35

• 0.50

• 0.65

• 1.00

Which sport had the least number of people favoring it in the survey?

• Soccer

• Tennis

• Football

• Basketball