Understanding Probability Concepts

The video tutorial covers the concept of complements in probability, explaining how the complement of an event is the set of all outcomes not included in the event. Through examples using a spinner, a number cube, and a deck of cards, the video illustrates how the probability of an event and its complement sum to one. It also discusses certain and impossible events, using a probability scale to show the likelihood of events. The lesson concludes with a transition to the next topic, experimental probability.

What is the complement of an event in probability?

• The probability of the event

• The event itself

• All outcomes not in the event

• The sum of all probabilities

If a spinner has three sections and the probability of landing on red is 1/3, what is the probability of not landing on red?

• 1

• 1/3

• 2/3

• 1/2

When rolling a six-sided die, what is the probability of not rolling a three?

• 1/2

• 5/6

• 1/6

• 1/3

In a standard deck of 52 cards, what is the probability of not drawing a diamond?

• 3/4

• 1/4

• 1/3

• 1/2

If you have a deck of only four aces, what is the probability of not drawing an ace?

• 1/2

• 1

• 0

• 1/4

What does it mean if an event is certain in probability?

• The event has a probability of 0

• The event has a probability of 1

• The event is impossible

• The event is equally likely to occur or not

On a probability number line, what does a value close to zero indicate?

• The event is equally likely

• The event is certain

• The event is impossible

• The event is unlikely

How is the probability of an event defined?

• The number of favorable outcomes

• The ratio of favorable outcomes to total outcomes

• The total number of outcomes

• The complement of the event

What is another term for the probability of an event?

• Complementary frequency

• Event frequency

• Relative frequency

• Absolute frequency

What is the relative frequency of drawing an ace of hearts from a deck of four cards?

• 1/3

• 1/4

• 1

• 1/2