A Math Student Is Interested in Counting the Number of Jelly

Short Answer

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 30 jelly beans of which 5 are marked. Using the techniques of capture-mark-recapture, estimate the number of jelly beans in the jar. Give your answer rounded to the nearest whole number.