Understanding Probability Concepts

The video tutorial explains how to calculate the probability of an event using a bag of marbles as an example. It covers the probability continuum, converting between fractions, decimals, and percentages, and solving probability problems algebraically. The tutorial demonstrates how to find the probability of selecting a green marble when one-third of the marbles are blue, emphasizing the concept of making a sum of one for all possible outcomes.

What fraction of the marbles in the bag are blue?

• Three-fourths

• One-third

• One-half

• Two-thirds

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

• 1

• 0.75

• 0

• 0.5

If an event has a probability of 0.5, what does this mean?

• It is impossible

• It is very likely

• It is certain

• It is equally likely to occur or not occur

How would you represent 0.75 on a number line divided into four equal parts?

• Four parts

• Two parts

• Three parts

• One part

Which of the following is equivalent to 75%?

• 1

• 0.5

• 0.25

• 0.75

If one-third of the marbles are blue, what fraction of the marbles are green?

• One-half

• Two-thirds

• Three-fourths

• One-third

What is the sum of the probabilities of all possible outcomes?

• 0

• 1

• 0.5

• 2

How do you calculate the probability of an unknown event?

• Multiply the probabilities of known events

• Add the probabilities of known events

• Divide the probability of known events by two

• Subtract the probability of known events from one

What is the algebraic method to find the probability of a green marble?

• Add one-third to one

• Multiply one-third by two

• Subtract one-third from one

• Divide one-third by two

What is the probability of selecting a green marble if the probability of selecting a blue marble is one-third?

• One-third

• One-half

• Three-fourths

• Two-thirds