ࡱ> bda WbjbjO O 4T-a-a BB,r.zzzzz-------$"24V.).BBzz,.?!?!?!FBzz-?!-?!?!r,T0^-z25 --B.0r.-z*65 *6-*6-L?!..5! r.*6 : STATIONS  The Game Show Is this coin biased? One in Three or One in Two? Why Seven? Paper, scissors or Rocks Why one? ACTIVITYOUTLINERESOURCESThe Game ShowStudents to investigate the difference strategies of playing a Game Show.Paper cups, object and worksheet.Is this coin biased?Students to investigate a statement about tossing a coin. Coins and worksheet.One in Three or One in Two?Student to investigate a statement about tossing two coins.Coins and worksheet.Why Seven?Students to investigate a statement about rolling two dice and adding the scores.Dice and Worksheet.Paper, Scissors or RockStudents to investigate the fairness of a version of the traditional paper, scissors or rock game.Worksheet.Why one?Students to investigate the fairness of a game involving dice differences.Dice and worksheet.  Who is right? Veni or Mary. You need to investigate the situation to provide evidence to support your decision as to who is right. Outline below how you will investigate the situation. Record your results of your investigation below also.  What do you think of Moanas theory? Justify your comments from above. You may decide to use experimental or theoretical probability in your justification.  Are you surprised at Cathys result? Explain in more detail why you were surprised or not at Cathys result. You should back up your explanation with experimental or theoretical probabilities. Follow up activity.  Play the game and then answer the following question. Where is it best to place your counters? (Why?)  Play the game a couple of times with a partner. The winner is the first one to 10 points. Who won? Is the game fair? What does fair mean in this situation? Why is the game fair or why not? Support your answer with theoretical probabilities. Restructure the game so that it is fair. Write down the new rules here. Why is the game fair now? What are the other ways that the game could be played and still be fair? Play the new game with a partner a couple of times. Are the results more fair now?  Investigate if the game is fair. Write details of how you will do this. Record your results. Who wins the most games? Show why this is the case using theoretical probabilities. Explain how the game could be made fair.  Some contestants play by the rule always change your mind and others play by the rule never change your mind. Which of these two rules do you think might be more successful? Play the game 10 times with the contestant always changing her mind and 10 times with contestant never changing her mind. Record successes and failures for both sets of 10 trials. Find the percentage of successes when playing by each rule. Which choice is more successful than the other? Justify why one of this choice is more successful than the other. Board for Why Seven? Follow Up Activity Player One 23456789101112 Player Two 23456789101112  Board for Why Seven? Follow Up Activity Player One 23456789101112 Player Two 23456789101112 Stations need to be set up around the room. Students will need clear guidance about the need to do at least one of each of the three types: coins, dice, other. Preference is to do all six. Is this coin biased? Veni tossed a coin 100 times and got 45 heads and 55 tails. He said, This coin is biased. His friend Mary said Dont be silly. If you tossed it lots of times it would come out roughly even. One in three or one in two? Moana was tossing two coins and recording the results. She was surprised to find that the most common result was one head and one tail. She said, I cant understand that. I would have thought that the chance of getting one head and one tail would be one in three. Why seven? Cathy rolled two dice and added the scores. She did this 100 times. She was puzzled when she found that she had only three 2s and that 7 was the most common answer. Game for Two players: 1.Each player to have a board with spaces numbered 2 to 12. 2. Each player has 8 counters. 3. Each player places the 8 counters anywhere on the board (two or more counters can be placed on top of one another). 4. Each player takes it in terms to roll two dice. 5. They then remove a counter from the space on the board that bears that number. If there are no counters remaining on that space they forfeit their turn. 6. The winner is the player who is the first one to remove all their counters. Why one? Two dice are rolled. Player A scores if the difference is 0, 1 or 2. Player B scores if the difference is 3, 4 or 5. Paper, Scissors or Rock Play this game with two other people. Decide who is Player A, Player B and Player C. All players make a fist and together count to four. On the count of four, each player shows either: PAPER by showing four fingers. SCISSORS by showing two fingers. ROCK by keeping the fist together. Player A gets a point if all players show the same sign. Player B gets a point if only two players show the same sign. Player C gets a point if all players show a different sign. The Game Show While the contestant closes her eyes, the Game Show host hides an object under one of three up-turned cups. The contestant then selects which of the three cups she thinks the object is hidden under. The host then lifts up one of the other two beakers, making sure that the object is not underneath. The contestant is then asked where she thinks the object is now.   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