MathDB

21

Part of 2016 AMC 8

Problems(1)

Drawing Chips from a Box

Source: 2016 AMC 8 #21

11/23/2016
A box contains 3 red chips and 2 green chips. Chips are drawn randomly, one at a time without replacement, until all 3 of the reds are drawn or until both green chips are drawn. What is the probability that the 3 reds are drawn?
<spanclass=′latex−bold′>(A)</span>310<spanclass=′latex−bold′>(B)</span>25<spanclass=′latex−bold′>(C)</span>12<spanclass=′latex−bold′>(D)</span>35<spanclass=′latex−bold′>(E)</span>710<span class='latex-bold'>(A) </span>\frac{3}{10}\qquad<span class='latex-bold'>(B) </span>\frac{2}{5}\qquad<span class='latex-bold'>(C) </span>\frac{1}{2}\qquad<span class='latex-bold'>(D) </span>\frac{3}{5}\qquad <span class='latex-bold'>(E) </span>\frac{7}{10}
AMC 8probability2016 AMC 8