Question+of+the+Day

Problem: You are in a dark room sitting at a table. You are told that there are 26 nickels on the table of which 10 are heads and 16 are tails. How can you separate them into 2 groups with exactly the same number of heads in each group?
 * __February 16th__ **
 * Flipping Coins Challenge**

Answer: Not supposed to tell!

**
 * Finding the Radius of a Circle


 * __February 23rd__ **

__**February 26th**__

__** March 2nd **__
 * Parabola Problem**

__**March 5th**__
 * The "Peinter" Problem**

__** March 22nd **__ **
 * Seven Pennies Problem

Answer: This is one of the possible solutions

__**March 23rd**__
 * Checkerboard Challenge**

__** March 26th **__ Problem: Two fair coins are flipped simultaneously. This process is repeated until at least one of the coins comes up heads. What is the probability that both coins come up heads on the last flip?
 * Coin Flipping Challenge**

Answer : 0.3333... TT is ruled out because there is at least one H. This leaves you with 3 cases "HH, HT and TH" and each has 1/3 chance of occurring. Or more technically, this is a case of conditional probability: The probability of A given B is //P(AB)/P(B).// //P(AB) = 0.25 P(B) = 0.75// <-- You're subtracting the probability of no heads (TT) from 1, so it's 1 - 0.25 //P(AB)/P(B) = 0.25/0.75 = 0.333...//

__** March 30th **__ Problem : A triangle is cut from the corner of a rectangle. The resulting pentagon has sides of length 8, 10, 13, 15 and 20 units --but not necessarily in that order. What is the area of the pentagon?
 * Pentagon Challenge**

Answer: //lw - bh/2 = 20(15) - 12(5)/2 = 270//