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Mutually Exclusive and Exhaustive Events worksheet

Suitable for Year groups: 9, 10, 11
GCSE Tier:
Foundation/Higher
Targeting grades: 4-5
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Prerequisite knowledge: How to calculate the probability of simple and single events.
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Mutually Exclusive and Exhaustive Events worksheet description

Students will practice identifying mutually exclusive and exhaustive events whilst completing this worksheet. An essential skill for using the ‘sums to one’ rule.

Throughout section A, students will consider seven pairs of events and then state whether they are mutually exclusive, exhaustive, both or neither. Events include getting two prime numbers and two numbers that sum to four when rolling two dice.

In section B, a number from 1 - 50 is selected at random, students are given six events, such as “the number chosen is odd”, which are paired together for students to again state whether events are mutually exclusive, exhaustive, both or neither.

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