Probability and Its Complements

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, discusses rules and equations, and uses Venn diagrams for visualization. A practical example involving favorite sports demonstrates how to apply these concepts. The video concludes with a summary and suggestions for further learning.

What is the complement of an event when rolling a die and the event is rolling a 1 or a 2?

• Rolling a 1 or a 2

• Rolling an even number

• Rolling a 3 through 6

• Rolling a 6

How is the probability of an event's complement represented?

• P of E complement

• P of E

• P of E prime

• P of E double prime

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

• 1

• 0.5

• 0

• 2

If the probability of event E is 0.35, what is the probability of its complement?

• 0.65

• 0.50

• 1.00

• 0.35

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

• Probability of event E

• Probability of E prime

• Probability of both E and E prime

• Probability of neither E nor E prime

Which equation represents the probability of an event's complement?

• P(E) - P(E') = 1

• P(E) + P(E') = 0

• P(E') = 1 - P(E)

• P(E) = 1 - P(E')

How can you find the probability of an event if you know the probability of its complement?

• Multiply the probability of the complement by 2

• Add the probability of the complement to 1

• Subtract the probability of the complement from 1

• Divide the probability of the complement by 2

What is the probability of E prime if the probability of E is 0.35?

• 0.35

• 0.50

• 0.65

• 1.00

If the probability of event E is 0.35, what is the probability of its complement?

• 0.35

• 0.50

• 0.65

• 1.00

What is the probability of E prime if the probability of E is 0.35?

• 1.00

• 0.65

• 0.50

• 0.35