Probability Concepts and Calculations

This video tutorial explains the concept of the complement of an event in probability. It provides two examples: one involving a deck of cards to find the probability of not drawing a diamond, and another using numbered ping pong balls to determine the probability of selecting a ball not greater than 17. The tutorial demonstrates how to calculate these probabilities, convert them into fractions, decimals, and percentages, and simplifies the results.

What is the complement of an event in probability?

• The sum of probabilities of all possible outcomes

• The probability of the event not occurring

• The probability of the event occurring

• The event itself

If a card is drawn from a standard deck, what is the probability that it is not a diamond?

• 1/3

• 1/2

• 1/4

• 3/4

How many diamonds are there in a standard deck of 52 playing cards?

• 10

• 14

• 12

• 13

What is the simplified fraction for the probability of not drawing a diamond?

• 1/2

• 2/3

• 3/4

• 4/5

Express the probability of not drawing a diamond as a percentage.

• 80%

• 75%

• 60%

• 50%

In the second example, how many ping pong balls are greater than 17?

• 2

• 5

• 3

• 4

What is the probability of selecting a ping pong ball that is not greater than 17?

• 0.90

• 0.85

• 0.80

• 0.75

How many numbers are not greater than 17 in the range from 1 to 20?

• 18

• 15

• 16

• 17

What is the probability of selecting a ball that is greater than 17?

• 1/4

• 1/5

• 3/10

• 3/20

What is the decimal representation of the probability that a ball is not greater than 17?

• 0.75

• 0.90

• 0.85

• 0.80