I'm really good at probability, but this time I seems like I'm not.My friends asked me a very tricky question, and I want to see if there's anyone who can find out the answer.Here's the question: In a survey of 1,000 randomly selected people: 756 believed that the price of the particular product of is reasonable compared to the last year increase, 487 believed that the quality of that product is worse than the last year, and 363 believed both From here we know: Product is reasonable + Product is worse = 363 But how about Product is reasonable + Product is not worse Product is not reasonable + Product is worse Product is not reasonable + Product is not worse I'm trying to figure it out using set like P(A∪B∪C∪D) but seems like hard for me.

Jadon Stein

Jadon Stein

Answered question

2022-09-12

I'm really good at probability, but this time I seems like I'm not.
My friends asked me a very tricky question, and I want to see if there's anyone who can find out the answer.
Here's the question:
In a survey of 1,000 randomly selected people:
756 believed that the price of the particular product of is reasonable compared to the last year increase,
487 believed that the quality of that product is worse than the last year, and
363 believed both
From here we know:
Product is reasonable + Product is worse = 363
But how about
Product is reasonable + Product is not worse
Product is not reasonable + Product is worse
Product is not reasonable + Product is not worse
I'm trying to figure it out using set like P ( A B C D ) but seems like hard for me.

Answer & Explanation

Ashlee Ramos

Ashlee Ramos

Beginner2022-09-13Added 20 answers

For this kind of question, it's often best to make a table. Here's the data when put into a table.
 Is Reasonable   Not Reasonable   Total Is Worse 363 ? ? ? 487 Is Not Worse ? ? ? ? ? ? ? ? ? Total 756 ? ? ? 1000
With the given information, you can fill in all of the question marks.

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