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Figure 6–4 shows such a diagram for a game of $6$ tosses. The number of “ways” to any point on the diagram is just the number of different “paths” (sequences of heads and tails) which can be taken from the starting point. The vertical position gives us the total number of heads thrown. The set of numbers which appears in such a ...

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Q. A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? Count the total number of toothpicks you tossed. Also count the number of toothpicks that touch or cross one of your lines. Do not count any toothpicks that missed the paper or poked out beyond the paper’s edge. Divide the total number of toothpicks you threw by the number that touched a line. This is your approximation of pi, or 3.14. 5. tossing a coin and rolling 3 number cubes 6. selecting coffee in regular or decaf, with or without cream, and with or without sweeteners 7 COINS Find the number of possible outcomes if 2 quarters, 4 dimes, and 1 nickel are tossed. 8. SOCIAL SECURITY Find the number of possible 9-digit social security numbers if the digits may be repeated. 9.

445 7.1 Sample Spaces and Events 7.2 Relative Frequency 7.3 Probability and Probability Models 7.4 Probability and Counting Techniques 7.5 Conditional Experiment 1. A stack of one hundred coins is thrown into the air. After they have come to rest on the floor, the numbers that land “heads up” and “tails up” are noted. Net change: ordered coins → randomized coins (roughly equal numbers of heads and tails.) Energetics: no relevant net change in energy