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Probability · Question 14 of 70

A die is thrown. A is 'an even number' and B is 'a number greater than 3'.

Question 14

MediumOriginal question

A die is thrown. AA is 'an even number' and BB is 'a number greater than 3'. Match each event in List I with its outcomes in List II.

List IList II
A. A∪BA \cup BI. {2}\{2\}
B. A∩BA \cap BII. {2,4,5,6}\{2, 4, 5, 6\}
C. A∩B′A \cap B'III. {1,3,5}\{1, 3, 5\}
D. A′A'IV. {4,6}\{4, 6\}
Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. A={2,4,6}A = \{2, 4, 6\} and B={4,5,6}B = \{4, 5, 6\}. 'A or B' joins them: {2,4,5,6}\{2, 4, 5, 6\}; 'A and B' keeps the common part: {4,6}\{4, 6\}.

  2. 'A but not B' removes BB's outcomes from AA: {2}\{2\}; 'not A' is the odd numbers {1,3,5}\{1, 3, 5\}.

Concept
The algebra of events
Typical time
120 s
Your time
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The rule this testsThe algebra of events
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Ten questions from Probability, at your own pace.

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Ten questions from Probability, at your own pace.