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
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.
The type of probability illustrated is theoretical probability. The reason is that the probability of drawing the number 4 from the bag is determined based on the number of possible outcomes. In this case, there are 9 tiles in the bag, so there are 9 possible outcomes. Since there is only one tile with the number 4, the probability of drawing it is 1 out of 9, which simplifies to one-ninth. The probability is not found by repeating an experiment since the information given is about a single bag containing the tiles. Therefore, the correct answer is D. theoretical; the result is based on the number of possible outcomes.
The correct answer is D. theoretical; the result is based on the number of possible outcomes.
In this scenario, the bag contains 9 tiles numbered 1 to 9. The probability of selecting the tile numbered 4 is given as one-ninth.
This is a theoretical probability because it is based on the number of possible outcomes. The total number of outcomes in the bag is 9 (as there are 9 tiles), and the chance of selecting the tile numbered 4 is 1 out of those 9 possible outcomes.