A math student is interested in counting the number of jelly beans in a jar. The student opens the jar and removes 45 jelly beans. She places a distinctive mark on each bean and places it back in the jar. After thoroughly shaking the jar, she reaches in and removes 80 jelly beans of which 12 are marked. Using the techniques of capture-recapture, estimate the number of jelly beans in the jar. Give your Answer rounded to the nearest whole number.
A) 226
B) 300
C) 541
D) 29376
E) None of the above.

Question

Quizplus · Accepted Answer

Using the capture-recapture method, the estimated total number of jelly beans is calculated as (number of marked beans initially * total number of beans in second sample) / number of marked beans in second sample = (45 * 80) / 12 = 300.

A Math Student Is Interested in Counting the Number of Jelly