Test how irrationnal you are by answering those question. then read the article for answer. I'm so irrational!

1. Jack is looking at Anne, but Anne is looking at George. Jack is married, but George is not. Is a married person looking at an unmarried person?

   A) Yes
    B) No
    C) Cannot be determined

A)Yes. Because if Anne is not married, the married Jack look at her, if she is: she look at an unmarried

2. A bat and a ball cost $1.10 in total. The bat costs $1 more than the ball. How much does the ball cost?

not 10 cents, cause the bat would cost 1,10 and the total would be 1,20

4. Imagine that XYZ viral syndrome is a serious condition that affects one person in 1,000. Imagine also that the test to diagnose the disease always indicates correctly that a person who has the XYZ virus actually has it. Finally, suppose that this test occasionally misidentifies a healthy individual as having XYZ. The test has a false-positive rate of 5 percent, meaning that the test wrongly indicates that the XYZ virus is present in 5 percent of the cases where the person does not have the virus. we choose a person at random and administer the test, and the person tests positive for XYZ syndrome. Assuming we know nothing else about that individual's medical history, what is the probability (expressed as a percentage ranging from zero to 100) that the individual really has XYZ?

1 out of 51 because only 1 in 1000 has a virus so 50 in 1000 are positive without it

5. An experiment is conducted to test the efficacy of a new medical treatment. Picture a 2 x 2 matrix that summarizes the results as follows:

  	Improvement 	No Improvement

Treatment Given _________ 200 ___________ 75

No Treatment Given ______ 50 _____________ 15

As you can see, 200 patients were given the experimental treatment and improved; 75 were given the treatment and did not improve; 50 were not given the treatment and improved; and 15 were not given the treatment and did not improve. Before reading ahead, answer this question with a yes or no: Was the treatment effective?

No , because probability

4 cards:

A _K _8 _5

6. As seen in the diagram, four cards are sitting on a table. Each card has a letter on one side and a number on the other. Two cards are letter-side up, and two of the cards are number-side up. The rule to be tested is this: for these four cards, if a card has a vowel on its letter side, it has an even number on its number side. Your task is to decide which card or cards must be turned over to find out whether the rule is true or false. Indicate which cards must be turned over.

A and 5. Because we don't know if consonants have an even number or not. We pick 8 because we tend to try to prove instead of trying to disprove