Maths Olympiad Prep

Track / Stage 1 / 41 of 320 #41 of 2604

Problem 41

Combinatorics Difficulty 1.0 Find the answer CEMC Gauss (Grade 7) · Canada · 2001

A fair die is constructed by labelling the faces of a wooden cube with the numbers 1, 1, 1, 2, 3, and 3. If this die is rolled once, the probability of rolling an odd number is

(A) 56\frac{5}{6} (B) 46\frac{4}{6} (C) 36\frac{3}{6} (D) 26\frac{2}{6} (E) 16\frac{1}{6}

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

Next problem →

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.