## Related Words

# Theoretical Probability

## Definition of Theoretical Probability

It is the likeliness of an event happening based on all the possible outcomes. The ratio for the probability of an event 'P' occurring is P (event) = number of favorable outcomes divided by number of possible outcomes.

### Examples of Theoretical Probability

From the letters A, E, I, O, U the theoretical probability of selecting the letter E is 1/5

### Video Examples: Finding Theoretical Probability

### Solved Example on Theoretical Probability

**Ques: **A coin is tossed on a standard 8X8 chessboard. What is the theoretical probability that the coin lands on a black square?

##### Choices:

- A. 0.5
- B. 0.25
- C. 0.42
- D. 0.6

Correct answer: A

#### Solution:

- Step 1: Theoretical probability = number of favorable outcomes / number of possible outcomes.
- Step 2: The probability of the coin lands on the black square is 32.
- Step 3: Total number of outcomes = 64.
- Step 4: P (event) = 32/64
- Step 5: = 1/2 = 0.5
- Step 6: The theoretical probability that the coin lands on a black square is 0.5.

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