Maths Olympiad Prep

Track / Stage 1 / 102 of 240 #102 of 2444

Problem 102

Combinatorics Difficulty 1.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2016

A box of fruit contains 20 apples, 10 oranges, and no other fruit. When a fruit is randomly chosen from the box, what is the probability that the fruit is an orange?

Pick one

Next problem →

Official solution

Each of the 30 pieces of fruit in the box is equally likely to be chosen. Since there are 10 oranges in the box, then the probability that the chosen fruit is an orange is 1030\frac{10}{30} or 13\frac13.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.