Archive for April, 2017

Cashing a Check

Sunday, April 30th, 2017

Mr. Jackson went to cash a thousand dollar check.

He requested some one dollar bills, ten times as many two dollar bills, fifteen times as many five dollar bills and the rest in ten dollar bills.

How many one, two, five and ten dollar bills might he have received?

The Barrel of Beer

Sunday, April 30th, 2017

Liquor merchant Smith had six barrels with the following respective volumes: 150, 160, 180, 190, 200 and 310 liters. One of the barrels contained beer, the others wine.

Merchant Smith sold some of the wine to Mr. Jones and then twice as much to Mr. Abernathy, which left him with only the barrel of beer.

How many liters did the barrel of beer contain?

The Four Aces

Sunday, April 30th, 2017

Fred was playing poker with his three friends Henry, John and Mack and had just dealt a hand for each.

Fred saw that he had an Ace and wondered what the probability was that each of the other players also had an Ace.

Later in the evening after the game, Fred decided to write a computer program that would deal ten thousand hands of poker to check how often four players each would be dealt an Ace.

Then Fred wondered what would be the similar case for bridge hands dealt, for which purpose he changed a few input parameters for his computer program and received a surprise answer.

On the average, how many of the ten thousand poker hand deals do you think resulted in an Ace for each player?

On the average, how many bridge hand deals did Fred find gave an Ace to each player?

An Olympic Swimming Team

Monday, April 10th, 2017

Jack is part of a ten member Olympic swimming team.

A 500 m relay race is to be run with five contestants.

What is the probability that Jack will be among the five contestants chosen?