Question

the pie chart to the right shows how adults rate their financial shape. suppose 20 people are chosen at random from a group of 200. what is the probability that none of the 20 people would rate their financial shape as fair? (make the assumption that the 200 people are represented by the pie chart.)

the probability that none of the 20 people would rate their financial shape as fair is .
(round to six decimal places as needed.)

Explanation:

Calculate group sizes from percentages

Using the Percentage Calculation knowledge point

$$
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$$

Apply hypergeometric probability formula

Using the Sampling Without Replacement and Combinatorics knowledge points

$$
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$$

Compute the combinations ratio

Using the Combinatorics knowledge point

$$
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$$

Round to six decimal places

Using the Percentage Calculation knowledge point

$$ P(X = 0) \approx 0.000153 $$

Answer:

The pie chart to the right shows how adults rate their financial shape. Suppose 20 people are chosen at random from a group of 200. What is the probability that none of the 20 people would rate their financial shape as fair? (Make the assumption that the 200 people are represented by the pie chart.)

The probability that none of the 20 people would rate their financial shape as fair is <blank>0.000153</blank>.
(Round to six decimal places as needed.)