Deal or No Deal Worksheet

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A year 10 probability assignment based on Deal or No Deal.

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<ul><li><p> Name: ___________________________________ Mark: __________/16 </p><p>Deal or No Deal is an Australian game show where the contestant aims to knock out the lowest values of cash by randomly picking briefcases numbered 1 to 26. Each numbered briefcase contains a cash value from 50c to $200,000, which is revealed when the contestant picks that particular case. Knocking high values off the board results in less cash being won. The cash values are grouped in colours, blue being the lowest, red the middle, and green being the highest values. </p><p> Blue values </p><p> 1. Answer the following in the context of the Deal or No Deal game show and probability theory a. What is the main experiment in the game show? (1 mark) b. What are the possible outcomes of the experiment? (No need to list them all, just a description) (1 mark) c. Describe one possible event, called , of the experiment. (1 mark) d. What is the complementary event of ? (1 mark) </p><p>Briefcase values 50c $1,000 $1 $2,000 $2 $3,000 $5 $4,000 $10 $5,000 $20 $10,000 $50 $15,000 $100 $20,000 $150 CAR $200 $50,000 $250 $75,000 $500 $100,000 $750 $200,000 </p><p>Red values </p><p>Green values </p></li><li><p>2. Present your answers to the following questions in both fraction and decimal form (to four significant figures), and show all working What is the probability that the first case opened is: a. A blue value? (2 marks) b. A red value? (2 marks) c. A green value? (2 marks) d. The car? (2 marks) </p><p>Figure 1: A woman opens the first case of the game, knocking out the $200,000 </p></li><li><p>3. In July 2006, Josh Sharp created Deal or No Deal history in the unluckiest fashion by knocking out the 4 highest cases in a row, from $200,000 to $50,000. Watch the video on http://www.youtube.com/watch?v=LkaUTfUwL-I&amp;feature=plcp a. Let be the event that the first four cases opened are the green values in descending order. ($200,000, then $100,000, etc., like the unlucky man in the YouTube video.) What is the probability of , ()? Present your answer as a fraction and show all working. (2 marks) b. Let be the event that the first four cases opened are all green values (in any order). What is the probability of , ()? Present your answer as a fraction and show all working. (2 marks) </p><p>Figure 2: Josh Sharp opens cases of the highest value in descending order, making Deal or No Deal history </p></li></ul>