Question

1. ursula surveys her classmates to find out what sport they will participate in over the summer. the choices are swimming, baseball, tennis, or some combination of the three. the sample space is shown in the venn diagram below: which of the following venn diagrams have shaded areas which represent the classmates who chose baseball or tennis?

Explanation:

To determine which Venn diagram represents "baseball or tennis", we use the concept of set union. The union of two sets (baseball and tennis) includes all elements (classmates) in either set, including their intersections.

• In option A, the shaded area covers the entire baseball circle and the entire tennis circle, including their overlaps with each other and with swimming. This represents all who chose baseball, all who chose tennis, and those who chose both (or combinations with swimming).
• In option B, the shaded area is only a small overlap, which does not represent all of baseball or tennis.

So, the shaded area in A includes all regions related to baseball or tennis.

Answer:

A. The Venn diagram where the entire baseball circle and entire tennis circle (including their overlaps) are shaded.