Objective   16 Demonstrate that different outcomes may occur when repeating the same experiment.

Problem   Two of these sets of data were generated using the same die. Which two?

Manipulative   Materials: overhead spinner, blank spinner mat, regular six-sided die, 4 beans, paper cup, coin, paper bag (containing 10 blue, 10 red and 10 yellow tiles), full deck of cards. Roll a regular six-sided die about 20 times. Keep track of the values rolled in a tally chart. Repeat. Compare your first tally chart with the second. Are they identical? Why? Repeat the above experiment using a spinner of your choice (although the spinner must have two or more regions with differing values).   Repeat the above experiment rolling 4 beans from a paper cup. Repeat the above experiment, but flipping a coin 20 times. Repeat the above experiment using a full deck of cards. Keep track of how many you draw from each suit of cards. Repeat the experiment, but drawing colored tiles from the paper bag.

Game   Materials: regular six-sided die, paper, pencil. A game for 2 or more players. On a turn a player will roll a regular die 5 times, counting the number of times a 6 is rolled. The winning player is the first player who has had a turn where 0 sixes turn up. a turn where 1 six turns up. a turn where 2 sixes turn up. a turn where 3 sixes turn up. Adaptations: Change the game so that a player can roll 5 dice simultaneously. How is this different? Substitute an 8-sided die. Which outcomes become more difficult to achieve?

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