Rationality Quiz A
This is a quiz meant to test certain common causes of irrationality. It is meant to be taken fairly quickly (some questions have time limits), and the questions should be answered in the order they are written. If you don't know the answer, guess. The questions themselves are partly drawn from rationalist literature and partly from my own brain. All credit for this quiz, when taken in its entirety, should go to Chana Messinger at www.fantasticastoria.blogspot.com and chanamessinger@gmail.com
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Samantha was part of the Intervarsity Christian Fellowship in college and was abstinent until marriage. She has four children and does not use birth control. Is it more likely that she is a teacher, or a Christian and a teacher?
Do you think the percentage of countries in the UN that are African countries is higher or lower than 65%?
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What is the percentage of countries in the UN that are African countries?
(5 seconds) Guess the value of the following arithmetical expression:  1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 = ?
1% of women at age forty who participate in routine screening have breast cancer. 80% of women with breast cancer will get positive mammographies. 9.6% of women without breast cancer will also get positive mammographies. A woman in this age group had a positive mammography in a routine screening. What is the probability that she has breast cancer?
1500 out of every 10,000 men at age forty who participate in routine screening have prostate cancer. 1300 of these 1500 men will get positive screening tests. 8,000 of the men who do not have prostate cancer will also get positive screening tests. A man in this age group had a positive test in a routine screening. What is the probability that he has prostate cancer?
There are four cards on a table. Every card has one side which is white or black and one side with a number on it. The Rule: Every card with a white side must have an even number on the other side. How many cards (and which ones) must you flip in order to check if all four cards follow this rule?
You are an employee at an all age party venue, and people are allowed to come in with drinks. You see a group of four guys coming in, all carrying red Solo cups. One has an ID which says he’s 19, one is drinking orange juice, one is drinking beer, one has an ID which says he’s 24. Assuming you are accurate in your assessment of the drinks and all the ID’s are real, whose IDs/drinks do you check in addition to the information you already have to make sure no one is drinking illegally?
All ages can come in, but only 21 year olds can drink
A fair coin is tossed repeatedly until a tail appears, ending the game. The pot starts at 1 dollar and is doubled every time a head appears. You win whatever is in the pot after the game ends. Thus you win 1 dollar if a tail appears on the first toss, 2 dollars if a head appears on the first toss and a tail on the second, 4 dollars if a head appears on the first two tosses and a tail on the third, 8 dollars if a head appears on the first three tosses and a tail on the fourth, etc. This game can be played as many times as you wish (with a fixed fee paid every time). How much would you pay to enter this game?  
You are deciding on the fixed fee
A magazine you're interested in has three subscription options: Which do you choose?
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