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?
Experimental probability =
1/2
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.
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.
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