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 her 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 | 2 | 4 |\n| canada | 4 | 2 |\nwhat is the probability that a randomly selected contestant scored over 100 points given that the contestant is from canada?\nsimplify any fractions.

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.\n| | up to 100 points | over 100 points |\n|--|--|--|\n| united states | 2 | 4 |\n| canada | 4 | 2 |\nwhat is the probability that a randomly selected contestant scored over 100 points given that the contestant is from canada?\nsimplify any fractions.

Answer

Explanation:

Step1: Find total number of Canadian contestants

Add the number of Canadian contestants with up - to 100 points and over 100 points. $4 + 2=6$.

Step2: Find number of Canadian contestants with over 100 points

The number of Canadian contestants with over 100 points is 2.

Step3: Calculate conditional probability

The formula for conditional probability $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In terms of counts, if $A$ is the event of scoring over 100 points and $B$ is the event of being from Canada, the probability is the number of Canadian contestants with over 100 points divided by the total number of Canadian contestants. So the probability is $\frac{2}{6}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$