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Use the tables to answer the question.

Simon’s Results

This table shows the number of white and red balls Simon selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 5 15
Bowl B 16 4
Clark’s Results

This table shows the number of white and red balls Clark selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55
Bowl B 60 40
Bowls A and B contain a number of white and red balls. Simon and Clark repeatedly selected a ball from both bowls and recorded the results in a table. Whose results will give you a better indication about the proportion of white and red balls in each bowl? Explain your answer.

(1 point)
Responses

Simon’s experiment. He conducted a greater number of trials than Clark.
Simon’s experiment. He conducted a greater number of trials than Clark.

Both results can be used, as they performed the experiment at random.
Both results can be used, as they performed the experiment at random.

Neither; they conducted the same number of trials.
Neither; they conducted the same number of trials.

Clark’s experiment. He conducted a greater number of trials than Simon.
Clark’s experiment. He conducted a greater number of trials than Simon.
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1 answer

To determine whose results give a better indication about the proportion of white and red balls in each bowl, we need to consider the number of trials conducted by each individual:

  • Simon's Results:

    • Bowl A: 5 white, 15 red (Total = 20)
    • Bowl B: 16 white, 4 red (Total = 20)
    • Total trials = 20

  • Clark's Results:

    • Bowl A: 45 white, 55 red (Total = 100)
    • Bowl B: 60 white, 40 red (Total = 100)
    • Total trials = 100

Clark conducted significantly more trials (100) compared to Simon (20). With a larger number of trials, Clark's results are likely to provide a more accurate representation of the proportions of white and red balls in the bowls due to the law of large numbers. Therefore, Clark's experiment will give a better indication about the true proportions.

The best response is: Clark’s experiment. He conducted a greater number of trials than Simon.