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AssignmentMultiple Choice

Simulations to Estimate Probabilities

Question 1 • Common Core Math 7 - MA3107 CR

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?

Answer
A
tossing a coin six times
B
rolling a number cube six times
C
tossing a coin three times
D
rolling a number cube three times

Explanation

There are six equally likely tools, so a number cube with six sides can represent one tool choice per roll. Since you choose a tool three times, roll the number cube three times; replacement means each roll remains independent. This makes rolling a number cube three times the most accurate simulation. Rolling six times or tossing a coin would not match the number of choices or the six possible tools.

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