Exploring Theoretical Probability Concepts

This lesson covers the concept of theoretical probability, explaining how to calculate it by determining the number of favorable outcomes over the total number of outcomes. The video provides examples, such as selecting a letter from the word 'watching', to illustrate the calculation process. It also introduces complementary events, which are the opposite of a given event, and demonstrates how to find their probabilities by subtracting from one. The lesson emphasizes understanding probability scales and simplifying fractions.

What does theoretical probability refer to?

• The outcome of an experiment after it is conducted

• A prediction of an event that cannot be calculated

• The likelihood of an event occurring based on personal judgment

• The exact number that represents the chance of an event occurring

How is the probability of an event calculated?

• Total outcomes minus favorable outcomes

• Favorable outcomes divided by total outcomes

• Favorable outcomes multiplied by total outcomes

• Total outcomes divided by favorable outcomes

In probability, what does the total number of outcomes represent?

• The number of successful outcomes

• The number of times an experiment is conducted

• The number of favorable outcomes

• The total possible results of an experiment

What is the first step in calculating the probability of an event?

• Simplifying the fraction

• Calculating the number of successful outcomes

• Determining the number of experiments

• Identifying the total number of outcomes

What is the probability of selecting a 'T' from the word 'WATCHING'?

• 2/8

• 1/2

• 1/8

• 1/4

After simplification, what is the probability of selecting a vowel from 'WATCHING'?

• 1/4

• 1/2

• 2/8

• 1/8

What defines a complementary event in probability?

• The opposite event that together with the original sums up to 1

• An event that occurs with a 50% chance

• An unrelated event in a different experiment

• The event of not achieving the desired outcome

If the probability of an event is 0.3, what is the probability of its complementary event?

• 0.7

• 0.3

• 1.3

• 0.5

How do you find the complementary probability if an event's probability is 5/7?

• 7/5

• 12/7

• 2/7

• 5/7

What is the sum of probabilities of an event and its complementary event?

• 2

• 0

• 0.5

• 1