Exploring Theoretical Probability Concepts

The video tutorial provides an in-depth look at theoretical probability, explaining its principles and how it differs from experimental probability. It covers the basics of probability, including the range of values it can take and the different forms it can be expressed in. The tutorial uses practical examples with spinners and marbles to illustrate how to calculate probabilities, including the concepts of favorable and possible outcomes. It also introduces the idea of complementary probabilities and demonstrates how to express probabilities as fractions, decimals, and percentages.

What is the range of values that probability can take?

• Any positive number

• 0 to 100

• 0 to 1

• -1 to 1

How can probability be represented?

• As a fraction, decimal, or percentage

• As a whole number

• Only as a percentage

• Only as a fraction

What does experimental probability depend on?

• Theoretical calculations

• Predictions without experiments

• Fixed numerical values

• Outcomes of actual experiments

What is the formula for theoretical probability?

• Total outcomes / Favorable outcomes

• Trials conducted / Favorable outcomes

• Unfavorable outcomes / Total outcomes

• Favorable outcomes / Total outcomes

If a spinner is divided into 8 sections and 2 are labeled '3', what is the simplified probability of landing on '3'?

• 1/4

• 1/2

• 2/8

• 1/8

What does the probability of a complement of an event represent?

• None of the above

• The likelihood of the event occurring

• The likelihood of the event not occurring

• The total probability of all other events

What is the probability of not spinning a '3' if the spinner has 8 sections and 2 are '3'?

• 2/3

• 1/2

• 1/4

• 3/4

How is the probability of getting a red marble expressed as a percentage if there are 6 red marbles out of 18?

• 25%

• 66%

• 50%

• 33%

What is the probability of drawing either a blue or green marble if there are 4 blue and 5 green marbles in a bag of 18?

• 75%

• 25%

• 50%

• 33%

What is the probability, in fraction form, of not choosing a yellow marble if there are 3 yellow marbles in a bag of 18?

• 15/18

• 3/18

• 1/6

• 5/6