A bag contains 9 tiles numbered 1 to 9.P(4) = 1/9. What type of probability is illustrated and why?
This is an example of marginal probability, as it concerns the probability of selecting a specific number (4) from a bag containing 9 numbered tiles.
A bag contains 9 tiles numbered 1 to 9.P(4) = 1/9. What type of probability is illustrated and why?
experimental; the result is found by repeating an experiment
experimental; the result is based on the number of possible outcomes
theoretical; the result is found by repeating an experiment
theoretical; the result is based on the number of possible outcomes
This is theoretical probability, as the probability of selecting a specific number (4) is based on the total number of possible outcomes (9).
The type of probability illustrated in this scenario is called "classical probability."
Classical probability is based on the assumption that all outcomes in a sample space are equally likely to occur. In this case, the bag contains 9 tiles numbered 1 to 9, and each tile is equally likely to be drawn from the bag. Therefore, there is a total of 9 equally likely possible outcomes.
To calculate the probability of a specific outcome, such as drawing a 4, you count the number of favorable outcomes (in this case, there is only 1 tile numbered 4) and divide it by the total number of possible outcomes (which is 9).
So, P(4) = 1/9, which means that the probability of drawing a 4 from the bag is 1 out of 9.