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. up to 100 points over 100 points united states 6 7 canada 3 3 what is the probability that a randomly selected contestant is from canada or scored over 100 points? simplify 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. up to 100 points over 100 points united states 6 7 canada 3 3 what is the probability that a randomly selected contestant is from canada or scored over 100 points? simplify any fractions.

Answer

Answer:

$\frac{10}{19}$

Explanation:

Step1: Calculate total contestants

$6 + 7+3 + 3=19$

Step2: Calculate number of Canada or over - 100

Number of Canada contestants: $3 + 3 = 6$. Number of over - 100 contestants: $7+3 = 10$. Number of Canada and over - 100: $3$. Using the formula $P(A\cup B)=P(A)+P(B)-P(A\cap B)$, we have $6 + 10-3 = 13$. But we can also count directly: $3$ (Canada and up to 100) $+ 3$ (Canada and over 100) $+ 7$ (US and over 100)$=10$.

Step3: Calculate probability

Probability $=\frac{10}{19}$