a journalist attended a crossword puzzle competition. the competition ends when a contestant has accurately…

a journalist attended a crossword puzzle competition. the competition ends when a contestant has accurately completed five different crossword puzzles. for his story, the journalist recorded the home country and final score of each contestant.\n| | up to 100 points | over 100 points |\n|--|--|--|\n| united states | 6 | 7 |\n| canada | 3 | 3 |\nwhat is the probability that a randomly selected contestant is from canada or scored over 100 points?\nsimplify any fractions.

a journalist attended a crossword puzzle competition. the competition ends when a contestant has accurately completed five different crossword puzzles. for his story, the journalist recorded the home country and final score of each contestant.\n| | up to 100 points | over 100 points |\n|--|--|--|\n| united states | 6 | 7 |\n| canada | 3 | 3 |\nwhat is the probability that a randomly selected contestant is from canada or scored over 100 points?\nsimplify any fractions.

Answer

Answer:

$\frac{10}{19}$

Explanation:

Step1: Calculate total contestants

$6 + 7+3 + 3=19$

Step2: Calculate number of contestants from Canada or scored over 100 points

Contestants from Canada: $3 + 3 = 6$. Contestants scored over 100 points: $7+3 = 10$. But we double - counted the 3 Canadian contestants who scored over 100 points. So number of unique contestants from Canada or scored over 100 points is $6+10 - 3=10$.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{10}{19}$