Probability and Complement Events

The video tutorial covers the concept of the probability of the complement of an event, which is calculated as 1 minus the probability of the event itself. It provides three examples: calculating the probability of an event not occurring, determining the probability of a spinner not landing on a red section, and finding the probability of a spinner not landing on multiples of four. Each example demonstrates the step-by-step process of calculating the complement probability using basic arithmetic and understanding of sample spaces.

What is the formula for the probability of the complement of an event?

• P(E') = 1 - P(E)

• P(E') = P(E) + 1

• P(E') = P(E) - 1

• P(E') = 1 + P(E)

If the probability of an event is 2/5, what is the probability of its complement?

• 4/5

• 3/5

• 2/5

• 1/5

How do you calculate the probability of an event?

• Number of outcomes in the event divided by total outcomes in the sample space

• Total outcomes in the sample space minus number of outcomes in the event

• Total outcomes in the sample space divided by number of outcomes in the event

• Number of outcomes in the event plus total outcomes in the sample space

What is the least common denominator used in Example 1?

• 6

• 5

• 4

• 3

What is the probability of the complement of an event if the event's probability is 1/5?

• 2/5

• 3/5

• 4/5

• 1/5

What is the probability of a spinner landing on red if it is divided into six equal sections?

• 1/5

• 1/4

• 1/6

• 1/3

If a spinner is divided into six equal sections, what is the probability of it not landing on red?

• 2/6

• 4/6

• 1/6

• 5/6

What is the probability of a spinner landing on a red section if it is divided into six equal sections?

• 1/3

• 1/4

• 1/5

• 1/6

How many sections does the spinner have in Example 2?

• Four

• Five

• Six

• Seven

What is the least common denominator used in Example 2?

• 4

• 3

• 6

• 5