Question

The pie chart to the right shows how adults rate their financial shape. Suppose 4 people are chosen at random from a group of 1400. What is the probability that all four would rate their financial shape as​ excellent? (Make the assumption that the 1400 people are represented by the pie​ chart.)

Answer 1

Question Completion

PIE CHART NUMBERS:

• Excellent 9%
• Good 41%
• Fair 36%
• Poor 13%
• Other 1%

Answer:

0.000063

Step-by-step explanation:

Number of Respondents, n=1400

Probability that they would rate their financial shape as​ excellent = 0.09

Number of Those who would rate their financial shape as excellent

=0.09 X 1400

=126

Therefore:

The probability that 4 people chosen at random would rate their financial shape as​ excellent

$=\dfrac{^{126}C_4 \times ^{1400-126}C_0}{^{1400}C_4} \\=\dfrac{^{126}C_4 \times ^{1274}C_0}{^{1400}C_4}\\=0.000063 (correct to 6 decimal places)$