Complementary Events and Probability Concepts

The video tutorial by Hammond Akuma explains the concept of the complement of an event in probability, denoted as E prime. It covers the universal set and sample space, emphasizing that the probability of an event and its complement sum to one. The tutorial includes examples, such as calculating the probability of months starting with A or J and finding the complement of vowels in the alphabet. The video concludes with a reminder to subscribe and engage with the content.

What is the complement of an event typically denoted as?

• E inverse

• E double prime

• E prime

• E complement

What does the complement of an event represent?

• The event happening half the time

• The event not happening

• The event happening

• The event happening twice

In probability, what is the universal set also known as?

• Probability space

• Outcome space

• Event space

• Sample space

What is the complement of an event in a sample space?

• The event itself

• The entire sample space

• The part of the sample space including the event

• The part of the sample space not including the event

What is the sum of the probabilities of an event and its complement?

• 2

• 0.5

• 1

• 0

How can you find the probability of the complement of an event?

• By dividing the probability of the event by 2

• By adding the probability of the event to 1

• By subtracting the probability of the event from 1

• By multiplying the probability of the event by 2

If the probability of an event is 0.4, what is the probability of its complement?

• 0.2

• 0.4

• 0.6

• 1.0

If an event has a probability of 0.75, what is the probability of its complement?

• 0.25

• 0.75

• 1.0

• 0.5

If the probability of an event is 0.2, what is the probability of its complement?

• 0.8

• 0.2

• 0.5

• 1.0

How many months start with the letter A or J?

• 3

• 4

• 6

• 5