Probability and Complementary Events

The video by Hammond Akuma explains the concept of the complement of an event in probability, denoted as E prime. It covers the relationship between an event and its complement, emphasizing that their probabilities sum to one. The video provides examples, such as calculating the probability of months not starting with A or J and finding the complement of vowels in the alphabet. The tutorial aims to help viewers understand how to calculate the probability of complements using simple examples.

What is the complement of an event typically denoted as?

• E prime

• E inverse

• E double

• E complement

In the context of a universal set, what does the complement of an event represent?

• The probability of the event

• The outcomes not in the event

• The entire sample space

• The event itself

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

• 0

• 1

• 0.5

• 2

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

• 1.0

• 0.6

• 0.4

• 0.2

How many months start with the letter A or J?

• 4

• 3

• 6

• 5

What is the probability of selecting a month that does not start with A or J?

• 1/3

• 1/2

• 7/12

• 5/12

How many vowels are there in the English alphabet?

• 4

• 5

• 6

• 7

What is the probability of selecting a consonant from the alphabet?

• 1/3

• 1/2

• 21/26

• 5/26

If the probability of selecting a vowel is 5/26, what is the probability of selecting a consonant?

• 1/2

• 21/26

• 1/3

• 5/26

What is the complement of selecting a vowel from the alphabet?

• Selecting a symbol

• Selecting a number

• Selecting a consonant

• Selecting a vowel