SOLUTION: I'm being asked "What is the probability that a randomly selected participent is married and highly depressed? The table I was given is a 3 x 3 grid

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Question 632653: I'm being asked "What is the probability that a randomly selected participent is married and highly depressed? The table I was given is a 3 x 3 grid
Marital Status
Never Married Married Formerly Married Total
Low Depression 18 20 8 46
Moderate Depression 24 26 10 60
High Depression 30 24 15 69
Total 72 70 30 175
I tried it as taking the total number of married which is 70 over the total number of participents 175 with an answer of 40% but am told this is not correct. Can you please tell me why or how to figuire out what numbers should be factors? Thank you!
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
"What is the probability that a randomly selected participent is married AND highly depressed? The table I was given is a 3 x 3 grid
Marital Status
Never Married Married Formerly Married Total
Low Depression 18 20 8 46
Moderate Depression 24 26 10 60
High Depression 30 24 15 69
Total 72 70 30 175
I tried it as taking the total number of married which is 70 over the total number of participents 175 with an answer of 40% but am told this is not correct. Can you please tell me why or how to figure out what numbers should be factors? Thank you!
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Your problem is an AND problem.
It's not a conditional probability so the denominator is the grand total.
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The numerator is the intersection of "highly depressed" and "married"
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Answer: 24/175
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Cheers,
Stan H.