Which of the following statements are true and which are false?
1. Only one of the statements is false. 2. Exactly two of the statements are false. 3. Only three of the statements are false. 4. Exactly four of the statements are false. 5. All five of these statements are false.
A tailor can make a pair of pants from the scraps left over from sewing up five pairs of pants. If he has twenty-five scraps, how many pairs of pants can he make?
Six pairs of pants. He can make five initially, but once he’s done making five pairs of pants, he’ll have five remaining sets of scraps, meaning he can make an additional pair of pants, totaling six.
Linda is 31 years old, single, outspoken, and very bright. She majored in philosophy. As a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations.
Which is more probable?
1) Linda is a bank teller. 2) Linda is a bank teller and is active in the feminist movement.
Most people guess number two, but the probability of two events occurring together is always less than or equal to the probability of either one occurring alone. This problem is known as the Conjunction Fallacy.
Jeremy was making $10 an hour at his summer job, but he hated the work. He decided to take a 50% pay cut to work at an easier job. He liked his new job at first, then grew bored and found another job paying 50% more than he was currently making. What was his hourly pay at the third job?
