Peggy wanted to buy a talking parrot and went down to the pet shop. She bought a parrot after being assured it would repeat any word or phrase it heard. Peggy bought the parrot and took it home, but it still hadn’t said a word after a few weeks. She returned to the shop to complain, but discovered the original assurances were still accurate. Why didn’t the parrot talk?
Zero is nothing, yet when you add zeroes to a number like 1, it becomes 10, 100 or 1,000.
The ancient Greeks did not have a name for zero and did not use a placeholder. They seemed unsure about the status of zero as a number, philosophizing about how nothing could be something. Once zero was added, it allowed for more mathematical understanding.
While driving his car a man slams on the brakes when he sees, in the middle of the street, a diamond studded door, a gold door and a silver door. Which door does he open first?
A snail or a measuring device (like a yard stick or tape measure). A snail’s foot is a muscle that allows it to move, and measuring devices have feet on them to measure distance.
On a game show there are three closed doors – one hides a car and the other two conceal a goat. The contestant selects a door, which remains closed, and the host, knowing where the car is hidden, reveals a goat behind one of the remaining two doors. The contestant is then given the option to switch doors or stay with the one they originally selected. What should the contestant do to have the best chance of winning the car?
The contestant should switch doors, which doubles the chance of winning the car. Initially there is a 2/3 chance of picking a goat, but once the other goat is revealed, switching to remaining door gives the contestant a better chance of winning the car. This is known as the Monty Hall Problem and can be very unintuitive.