Each time we shuffle and deal, there is of course a potential for a different number of matches. But although the outcome of any one shuffling is random, is there a predictable pattern to the values we will see for "number of matches" after lots of shuffles?
- To examine this, change the Number of trials from 1 to 10. Uncheck the Animation box as well. Press Randomize.
(f) In the table in your report, record the number of times there were "0 matches" in these 10 trials, as highlighted here:
- In the applet, keep pressing Randomize and then Reset and then Randomize and then Reset... and fill out the table in your lab report with the number of times 0 matches occurred in the ten trials each time. (You do not need to make any screen captures.)
Once you have completed 10 sets of 10 randomizations, complete the rest of the table:
- Determine the cumulative number of trials you have seen as you move across the table (e.g., 10, 20, 30, ..., 100) in row 2
- Determine the cumulative number of times you have seen 0 matches as you move across the table. (row 3)
- Determine the relative frequency for each column (row 4) by dividing row 3 by row 2.
(g) Do you get the same value for the relative frequency in each column?
(h) Do the values of the relative frequencies seem to be getting closer together?