Math topic中文

Inclusion-exclusion principle

Count unions by adding, then subtracting overlaps: |A or B| = |A| + |B| - |A and B|; extend to three sets.

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Addition principle

Practice questions

  1. 1At Euler Middle School, 198 students voted on two issues in a school referendum with the following results: 149 voted in…
  2. 2Jean made a piece of stained glass art in the shape of two mountains, as shown in the figure below. One mountain peak is…
  3. 3Mrs. Sanders has three grandchildren, who call her regularly. One calls her every three days, one calls her every four d…
  4. 4In the figure below, ABCDABCD is a rectangle with sides of length AB=5AB = 5 in and AD=3AD = 3 in. Rectangle ABCDABCD is rotated…
  5. 5Jordan owns 15 pairs of sneakers. Three fifths of the pairs are red and the rest are white. Two thirds of the pairs are…
  6. 6一个50人的班级中，40人学数学，32人学物理，每人至少学一科。 用韦恩图求两科都学的人数，并求随机选一人恰好学两科的概率。
  7. 7On the most recent exam in Prof. Xochi's class, 55 students earned a score of at least 95%95\%, 1313 students earned a s…
  8. 8The eighth grade class at Lincoln Middle School has 93 students. Each student takes a math class or a foreign language c…