Probability Concepts and Applications

This video tutorial covers key probability concepts for grade 7 students, including events and outcomes, probability of single and compound events, experimental and theoretical probability, and sample spaces. It explains how to calculate probabilities, describes the likelihood of events, and differentiates between independent and dependent events. The tutorial also demonstrates the use of sample spaces through tree diagrams and tables, providing practical examples and exercises for students to practice their understanding.

What is the probability of an event that is certain to happen?

• 50%

• 100%

• 0%

• 25%

If a coin is flipped, what is the likelihood of landing on heads?

• Certain

• Equally likely

• Unlikely

• Impossible

If a fair die is rolled, what is the probability of getting an odd number?

• 1/2

• 1/3

• 1/6

• 2/3

What does experimental probability depend on?

• None of the above

• Actual outcomes from an experiment

• Theoretical calculations

• Predictions made before the experiment

How many outcomes are possible when choosing one item from each category on a sandwich menu with three types of bread, four meats, two condiments, and three cheeses?

• 144

• 36

• 72

• 24

What does it mean if two events are independent?

• Both events must occur together

• Neither event affects the other

• The outcome of one does not affect the other

• The outcome of one affects the other

In a scenario where two dice are rolled, what is the probability of both dice showing different numbers?

• 6/36

• 5/6

• 1/6

• 1/36

What is the probability of flipping a coin and getting heads, then rolling a die and getting a six?

• 1/12

• 1/2

• 1/6

• 1/3

What is the probability of drawing a blue marble after a yellow one has been drawn first, given there are 7 blue and 4 yellow marbles initially?

• 4/19

• 1/3

• 7/20

• 7/19

What is the purpose of using a tree diagram in probability?

• To show dependent events

• To list all possible outcomes of an event

• To calculate theoretical probability

• To represent data visually