Math 18 (3.3) Journal

Math 18

Simulation- Nut Company                   Names_______________________                                                                                              

The Problem                                                                               

A Nut Company is having a contest.  On the inside of each package of nuts the letters N, U, or T are printed in ratios 3 : 2 : 1, respectively.  If you can collect enough packages to spell the word NUT, you will win a prize.  How many packages do you think you might have to buy before you spell the word NUT?

Make a Guess                          

Guess!!     I think I might have to buy ________________packages.

Simulation

      1). There are three white chips (representing the letter "N"), two red chips

(representing the "U") and one blue chip (representing the  "T").  These amounts correspond to the ratio 3 : 2 : 1.  Put the 6 chips into a paper bag. 

2).  Shake the paper bag with the chips in it and pull out a chip without looking and record

the corresponding letter.  Put the chip back in the bag and do it again. Keep shaking and drawing until you have gotten all three letters.  Record how many tries it took.

Example:   N, N, U, N, N, U, N, T .............  8 tries

(this number represents the number of packages     you might have to buy to spell the word NUT)   

      3).  Do this experiment a total of 10 times, recording your results in the table below.

      4).  Then find the average (mean) number of packages purchased.

 =     _______________

Question:  Did your average number of purchases match up with your guess at the top of this sheet?

 Math 18

Simulation- Nut Company Names_______________________

The Problem

A Nut Company is having a contest. On the inside of each package of nuts the letters

N, U, or T are printed in ratios 3 : 2 : 1, respectively. If you can collect enough

packages to spell the word NUT, you will win a prize. How many packages do you think

you might have to buy before you spell the word NUT?

Make a Guess

Guess!! I think I might have to buy ________________packages.

Simulation

1). There are three white chips (representing the letter "N"), two red chips

(representing the "U") and one blue chip (representing the "T"). These amounts

correspond to the ratio 3 : 2 : 1. Put the 6 chips into a paper bag.

2). Shake the paper bag with the chips in it and pull out a chip without looking and record

the corresponding letter. Put the chip back in the bag and do it again. Keep shaking and

drawing until you have gotten all three letters. Record how many tries it took.

Example: N, N, U, N, N, U, N, T ............. 8 tries

(this number represents the number of packages you might have to buy to spell the word NUT)

3). Do this experiment a total of 10 times, recording your results in the table below.

4). Then find the average (mean) number of packages purchased.

Outcomes for Each Draw ___ Number of Packages__

1). _________________________________________________________

2)._____________________________________________________________

3)._____________________________________________________________

4)._____________________________________________________________

5)._____________________________________________________________

6)._____________________________________________________________

7)._____________________________________________________________

8)._____________________________________________________________

9)._____________________________________________________________

10).____________________________________________________________

Mean =

x = _______________

Question: Did your average number of purchases match up with your guess at the top of this sheet?