The pie chard to the right shows how adults await their financial shape. Suppose four people are chosen at random from a group of 1200. What is the probability that all four would rate their financial shape are excellent? (Make the assumption that the 1200 people are represented by the pie chart
To determine the probability that all four randomly selected people would rate their financial shape as excellent, we need to use the information from the pie chart.
First, we need to identify the portion of the pie chart that represents people who rate their financial shape as excellent. Let's assume that the excellent category occupies a certain angle of the pie chart.
Next, we need to find the probability of selecting one person who rates their financial shape as excellent. Since there are 1200 people in total and we are selecting one person at random, the probability of selecting a person who rates their financial shape as excellent is equal to the proportion of the excellent category in the pie chart.
After selecting one person, we need to consider the probability of selecting another person who also rates their financial shape as excellent. Since the selection is done without replacement (meaning the first person selected is not put back into the group), the probability of selecting a second person who rates their financial shape as excellent will depend on the new group size.
Continuing this process for all four people selected and multiplying the probabilities together will give us the probability that all four randomly chosen people rate their financial shape as excellent.
Note: For accurate calculations, we would need the actual values or angles associated with the excellent category on the pie chart. The explanation provided above covers the general process, but the specific probability calculation would require the actual data from the chart.