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Question

# A probability experiment consists of selecting a chip at random from a box that contains 40 chips. There are 30 red chips in the box and 10 green chips in the box. Allan plans to carry out a simulation of this probability experiment. He will use a random digit to represent a selection and if the digit is a 1, 2 or 3, the simulated outcome is red. If the random number is not 1, 2 or 3, the simulated outcome will be green. Is Allan’s plan a good one? Explain why or why not.

Solution

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Allan's plan is not good since the plan will not carry out the probability experiment for the 40 chips. The assigned digit for red chips is okay since there are 30 red chips and assigning 1, 2 and 3 will work on the simulation to represent the red chips. However for the green chips which are only 10 chips, there should be a distinct assignment of digit for this. This is because if the assigned digit is only a random number that is not 1, 2 or 3, then the selection for the green chips is greater than the selection of red chips, when in fact, there are more red chips than the green chips. The assignment of digits to run the simulation will not give an accurate result.

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