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Research Article

Trying To Be Random in Selecting Numbers for Lotto

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Figures & data

Figure 1. Box Plots of Ordered Selections of Six Numbers from {1, 2, 3, …, 42}.

Figure 1. Box Plots of Ordered Selections of Six Numbers from {1, 2, 3, …, 42}.

Figure 2. Frequency of Numbers When Selecting Six From {1, 2, 3, …, 42}. The horizontal lines in each case represent the expected number under complete randomness.

Figure 2. Frequency of Numbers When Selecting Six From {1, 2, 3, …, 42}. The horizontal lines in each case represent the expected number under complete randomness.

Table 1. Testing for Uniform Univariate Marginals

Figure 3. Histograms of Sample Means.

Figure 3. Histograms of Sample Means.

Figure 4. Normal Quantile and Quantile/Quantile Plots for the Means. For the normal quantile plots, the dotted lines represent where the data should fall under complete randomness, while the solid lines connect the quartiles.

Figure 4. Normal Quantile and Quantile/Quantile Plots for the Means. For the normal quantile plots, the dotted lines represent where the data should fall under complete randomness, while the solid lines connect the quartiles.

Figure 5. QQ Plot of Sample Variances for Lotto 6/42 and Individual Selections.

Figure 5. QQ Plot of Sample Variances for Lotto 6/42 and Individual Selections.

Figure 6. Frequency Polygons for the Minimum Gap.

Figure 6. Frequency Polygons for the Minimum Gap.

Table 2. Observed (O) and Expected (E) Values and x2 Goodness of Fit Statistics for the Minimum Gap

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