(Probability) Goats vs Cars - A Classic...

While playing around in the casino, some weird guy walks up to you. In a deep voice, he says, "Let's Make a Deal!" Immediately, the entire background shifts like a movie set and you find yourself in a game show. Your mysterious "game host" shows you 3 doors (A, B & C) and asks you to choose. Behind one is a car, and behind the other two are goats.

You choose door A. He then opens door C, revealing a goat behind it. (Note: The Host always opens a goat door). He then gives you the option to stick with your original door A, or switch to door B.

Which choice will give you the best odds of winning the car?

(Thermo) Types of Heat Transfer

(Physics) Velocity of Simple Harmonic Motion

A block of mass m is attached to a spring with spring constant k is free to slide along a horizontal frictionless surface. At t = 0 the block-spring system is stretched an amount x0 > 0 from the equilibrium position and is released from rest. What is the x -component of the velocity of the block when it first comes back to the equilibrium?

(After 5 min, if you don't know, guess! Then learn from the solution for next time!)

(Probability) What happens in Vegas...

After a crazy night at the bar, you wake up one morning and somehow find yourself at the Bellagio in Las Vegas. With a shrug, you head down to the casino and hit up a table. The dealer deals you 2 cards. Assuming the dealer deals from a 1-deck pile, what are all the possible hands you can be dealt? (Note: 52 cards in a deck)

(Geometry) Geometric Equations

What is the center and radius of the geometric figure described in the equation below?

x2 + y2 + 4y - 6x - 3 = 0

Can't figure it out? Then guess! CLICK above to learn from the solution!