MathDB
Choosing Cards

Source: 2017 AMC 8 #10

November 22, 2017
AMC 8

Problem Statement

A box contains five cards, numbered 1, 2, 3, 4, and 5. Three cards are selected randomly without replacement from the box. What is the probability that 4 is the largest value selected? <spanclass=′latex−bold′>(A)</span>110<spanclass=′latex−bold′>(B)</span>15<spanclass=′latex−bold′>(C)</span>310<spanclass=′latex−bold′>(D)</span>25<spanclass=′latex−bold′>(E)</span>12<span class='latex-bold'>(A) </span>\frac{1}{10}\qquad<span class='latex-bold'>(B) </span>\frac{1}{5}\qquad<span class='latex-bold'>(C) </span>\frac{3}{10}\qquad<span class='latex-bold'>(D) </span>\frac{2}{5}\qquad<span class='latex-bold'>(E) </span>\frac{1}{2}
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