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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