Question

a journalist attended a crossword puzzle competition. the competition ends when a contestant has accurately completed five different crossword puzzles. for her story, the journalist recorded the home country and final score of each contestant. what is the probability that a randomly selected contestant is from canada and scored up to 100 points? simplify any fractions.

Explanation:

Step1: Find total number of contestants

Add up all the numbers in the table. Total number of contestants is \(3 + 4+4 + 4=15\).

Step2: Find number of Canadian contestants with up - to 100 points

The number of Canadian contestants with up - to 100 points is 3.

Step3: Calculate the probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (Canadian contestants with up - to 100 points) is 3, and the total number of outcomes (total contestants) is 15. So \(P = \frac{3}{15}=\frac{1}{5}\).

Answer:

\(\frac{1}{5}\)