Six tools are in a bag – a hammer, wrench, drill, pliers, screwdriver, and measuring tape. You are trying to find the probability that you will pull out a different tool each time, if you replace the tool after each pull. Which simulation design would most accurately predict the result of choosing a tool three times?
Sample Response: The simulation tool could be a coin flip, with heads up representing a girl and tails up representing a boy. One trial would require flipping the coin twice. One table would show the outcome of two coin tosses as tally marks, and indicate whether the results were boy-boy, boy-girl, or girl-girl. Check all that you included in your response.The simulation tool could be a coin.One trial would require flipping a coin twice.The table would show the outcome of two coin tosses as tall
Two evenly matched tennis players, Jim and Rob, are going to play a set of 8 games. A player must win at least 6 of the 8 games to win the set. To find the probability of winning the set, Jim wants to simulate the situation using a number cube. If each roll represents a game, which associations on the cube correctly simulate the situation? Check all that apply.
A town has 10,000 two-child families. Design a simulation to estimate the percentage of two-child families with two girls. Choose a simulation tool, explain one trial, and describe the headings for a table in which you would record the outcomes.
The simulation tool could be a coin flip, with heads up representing a girl and tails up representing a boy. One trial would require flipping the coin twice. One table would show the outcome of two coin tosses as tally marks, and indicate whether the results were boy-boy, boy-girl, or girl-girl.
Experimental probability =
1/2
On a nearby pond, black and white ducks are swimming in groups of three. James wants to find the experimental probability of two white ducks and one black duck swimming together. Design a simulation using a coin flip and explain why it is the best choice for James.
There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trials.
Sample Response: There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trials. Which did you include in your answer? Check all that apply.There are only two choices for each duck, black and white. A coin is good tool, because it also has only two choices.Three coin tosses gives one
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