<image>【Problem】[2014·Jiaxing Joint Examination] In order to determine whether the selection of liberal arts by high school senior students is related to gender, a random sample of 50 students was taken, resulting in the following 2×2 contingency table:
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Given that P(K^{2}≥3.841)≈0.05 and P(K^{2}≥5.024)≈0.025, according to the data in the table, we get K^{2}=≈4.844. The probability that the relationship between selecting liberal arts and gender is judged incorrectly is approximately ______.