A Math Forum Project

Technology Problem of the Week Logo Challenging problems based on our Problems of the Week that take advantage of interactive 
math tools

_________________________________
MathTools || All Problems of the Week
_________________________________

Print This Problem

237: Pick a Number

Step 1: pick a 1 digit (1-6) number and roll 1 die to record the number of rolls that it takes to get your selected number.

Step 2: pick a two digit number (11-66) and roll 2 dice and record the number of rolls to get your selected number. [Note: Read the dice from left to right as they fall on the table. For example, a 4 and a 3 would read as the number 43.]

Continue likewise with 3 and 4 dice and record the results. On a graph, plot the number of dice vs. attempts to get your selected number.

Try this Random Integer Generator when you get to 4, 5, and 6 dice.

On the Worksheet, plot the Number of Dice vs. Number of Rolls. What scale do you think is needed for the Y-axis?

Before you start, can you predict, for each number of dice, how many rolls it might take to arrive at your selected number?

Questions:

  1. If you selected a 5 digit number, how many attempts would it take to get your selected number?

  2. If you selected a 6 digit number, how many attempts?

  3. How many tickets would you have to buy to win the weekly lottery?

Submit your answer to  "Pick a Number"

If you are under 13, you must have permission from your parent or teacher to participate in this web project. You will be asked to provide the email address of your parent or teacher when you register. At any time, parents or teachers may request that we remove personal information by writing to removal@mathforum.org or by contacting us via postal mail or telephone (800-756-7823).

[Privacy Policy] [Terms of Use]

_____________________________________
Math Forum Home || Math Library || Quick Reference || Math Forum Search
_____________________________________

© 1994-2009 Drexel University. All rights reserved.
http://mathforum.org/
Contact the Problem of the Week administrators
The Math Forum is a research and educational enterprise of the Drexel School of Education.The Math Forum is a research and educational enterprise of the Drexel School of Education.