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AP Statistics 2.5 A Justify Why Two Events Are Mutually Exclusive or Disjoint Using Joint Probability Questions

Practise justifying that two events are mutually exclusive by reading a two-way table and showing that both outcomes cannot occur for the same selection.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Show that two events are disjoint by explaining why their intersection contains no possible outcome.

AP Statistics 2.5 A Justify Why Two Events Are Mutually Exclusive or Disjoint Using Joint Probability Questions question 1

[Maximum number: 1]

The table below shows data that were collected from 125 middle school children. It indicates their gender and whether or not they believe that their father could overpower a sumo wrestler.

Table for Question AP Statistics 2.5 A Justify Why Two Events Are Mutually Exclusive or Disjoint Using Joint Probability Questions question 1 — AP Statistics
Table for Question AP Statistics 2.5 A Justify Why Two Events Are Mutually Exclusive or Disjoint Using Joint Probability Questions question 1 — AP Statistics

One of these children is picked at random. Which of the following correctly interprets mutually exclusive events represented by the table?

A

Believing one's father can overpower a sumo wrestler and not believing one's father can overpower a sumo wrestler

B

Believing one's father can overpower a sumo wrestler and being a boy

C

Believing one's father can overpower a sumo wrestler and being a girl

D

Not believing one's father can overpower a sumo wrestler and being a boy

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