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Problem 67

Combinatorics Difficulty 1.2 Multiple choice CEMC Cayley · Canada · 2015

The bar graph shows the number of provinces and territories that joined Canadian Confederation during each of four 40 year time periods.

If one of the 13 provinces or territories is chosen at random, what is the probability that it joined Canadian Confederation between 1890 and 1969?

Pick one

Official solution

From the given graph, 3 provinces and territories joined Confederation between 1890 and 1929, and 1 between 1930 and 1969.

Thus, between 1890 and 1969, a total of 4 provinces and territories joined Confederation.

Therefore, if one of the 13 provinces and territories is chosen at random, the probability that it joined Confederation between 1890 and 1969 is $\frac{4}{13}$ .

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