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 8×8 chessboard. What is the theoretical probability that the coin lands on a black square?
Correct answer: A
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: = 1/5 = 0.5
Step 6: The theoretical probability that the coin lands on a black square is 0.5.