Theoretical Probability of Simple Events

The video tutorial introduces theoretical probability, focusing on simple events. It explains that theoretical probability is about what should happen in an ideal scenario. The tutorial provides examples using a bag of marbles, a spinner, and a coin to demonstrate how to calculate probabilities of single events. It also covers the concept of complementary events, showing how to determine the probability of an event not occurring. The video emphasizes understanding simple events, where only one action is performed at a time, and how to calculate probabilities based on favorable outcomes.

What is the probability of drawing a green marble from the bag?

• 3/5

• 4/10

• 2/5

• 1/2

How do you simplify the fraction 4/10 to find the probability?

• By dividing both by 2

• By adding 4 and 10

• By multiplying both by 2

• By subtracting 2 from both

If there are 10 marbles and 1 is yellow, what is the probability of not drawing a yellow marble?

• 1/10

• 2/5

• 9/10

• 1/2

What does the number of favorable outcomes represent?

• Total outcomes in the experiment

• Possible outcomes that were not considered

• Outcomes that do not meet the criteria

• Outcomes that meet the criteria

What simplifies to the probability of spinning a red on the spinner?

• 2/6

• 3/6

• 1/2

• 1/3

If a spinner has 6 sections and 2 are red, what is the initial fraction representing the chance of spinning red?

• 1/3

• 2/6

• 1/2

• 2/3

What is the probability of spinning either blue or red?

• 1/2

• 2/3

• 3/4

• 1/3

Combining the probabilities of spinning blue and red gives you what fraction before simplification?

• 3/6

• 2/3

• 1/2

• 4/6

What is the theoretical probability of a coin landing on tails?

• 1/4

• 2/3

• 1/3

• 1/2

In the context of simple events, what does flipping a coin once represent?

• An unrelated event

• A simple event

• An impossible event

• A compound event