Homer Simpson is standing on the edge of a cliff. A coin is thrown to decide which way he will move. On heads, he will move left, on tails right. WOOHOO! Copy and complete: P(moves left) = P(moves right) = Play the game at least 20 times and record the number of times you win and lose in a tally table. Copy and complete: P(win) = P(loss) = Repeat using different probabilities for Homer moving forward or back. Homer Simpson falling from a cliff The above link shows Homer Simpson standing on the edge of a cliff. This time there is a 1/3 chance he steps forward, and a 2/3 chance he steps away from the cliff. Run the applet 20 times and calculate the probability he falls and the probability he is saved. Multiple Trials This applet will run the above simulation 100, 10000 and 1000000 times. What is the probability Homer is saved for each of these? What do you think the theoretical probability may be for this scenario? In this game Homer either moves up (heads) or left (tails) on each throw of the coin. If he reaches the top left box he wins. If he goes outside of the blue square he loses. WIN LOSE Play the game at least 20 times and record the number of times you win and lose in a tally table. Copy and complete: P(win) = P(loss) = Investigate how the probability of winning or losing is changed if the winning square changes. START The End
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