Project 16.2
Five identical containers (shoe boxes, paper cups, etc.) must be prepared for this problem, with contents as follows:
There are five boxes containing red and white items (such as marbles, poker chips, or colored slips of paper).
Box | Contents |
#1 | 15 red and 15 white |
#2 | 30 red and 0 white |
#3 | 23 red and 5 white |
#4 | 20 red and 10 white |
#5 | 10 red and 20 white |
Select one of the boxes at random so that you don’t know its contents.
Step 1: Shake the box.
Step 2: Select one marker, note the result, and return it to the box.
Step 3: Repeat the first two steps 20 times with the same box.
- What do you think is inside the box you have sampled?
- Could you have guessed the contents by repeating the experiment five times? Ten times? Do you think you should have more than 20 observations per experiment?