A bag contains 9 tiles numbered 1 to 9. P(4) = one-ninth. What type of probability is illustrated and why?
A. experimental; the result is found by repeating an experiment
B. experimental; the result is based on the number of possible outcomes
C. theoretical; the result is found by repeating an experiment
D. theoretical; the result is based on the number of possible outcomes
1 answer
The probability illustrated is a theoretical probability. It is based on the number of possible outcomes of the event. The given probability states that P(4) is equal to one-ninth, which means that out of the nine possible outcomes (numbers 1 to 9), only one of them (number 4) satisfies the condition. Therefore, the probability of choosing the number 4 is theoretical and not based on an experiment. So, the correct answer is D.