Exploring Probability Concepts for 7th Grade Math

The video tutorial covers various aspects of probability, starting with sample spaces and tree diagrams to list possible outcomes. It explains experimental and theoretical probability, using examples like dice rolls, coin flips, and drawing tiles. The tutorial also discusses simple probability, complements, and the difference between independent and dependent events. Finally, it addresses making qualitative and quantitative predictions based on data, using examples like cookie selection probabilities.

What is a sample space in probability?

• A list of all possible outcomes of an event

• The outcome of an experiment

• A type of diagram used to predict outcomes

• The space where an experiment is conducted

How can experimental probability be defined?

• Predicted probability without an experiment

• Number of times an event occurs over total trials

• Outcome of an experiment without trials

• Ratio of favorable outcomes to total outcomes

How is a proportion used in probability?

• To determine the sample space

• To compare experimental and theoretical probabilities

• To list all possible outcomes

• To create a tree diagram

What is the theoretical probability of drawing a blue or yellow tile?

• 9 out of 20

• 54 out of 120

• 3 out of 20

• 6 out of 20

If a spinner is divided into 8 sections, what is the probability it lands on a multiple of 4?

• 2 out of 8

• 1 out of 2

• 1 out of 4

• 4 out of 8

What is the complement in probability?

• A diagram showing all outcomes

• The likelihood of an event not occurring

• The most favorable outcome

• The total number of possible outcomes

What is the probability of selecting a two from each of three bags with cards numbered 1 to 4?

• 1 out of 16

• 3 out of 12

• 1 out of 64

• 1 out of 4

What does it mean when events are independent?

• Neither event affects the other's outcome

• Both events must occur together

• The outcome of one event does not affect the other

• The outcome of one event affects the other

What is the probability Kendra draws a 1 and then a 5 without replacement?

• 1 out of 6

• 1 out of 5

• 1 out of 30

• 5 out of 6

Which statement is true about the cookie flavors?

• Chocolate chip is the most popular flavor

• Sugar cookies are less popular than all other flavors combined

• Oatmeal cookies are twice as likely as chocolate chip

• Sugar cookies are four times as likely as chocolate chip