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Probability · Question 17 of 70

Question 17

MediumOriginal question

Read the two statements and choose the correct option.

I. When two dice are thrown, 'the sum is 7' and 'both dice show the same number' are mutually exclusive.

II. When two dice are thrown, 'the sum is even' and 'the sum is odd' are exhaustive.

Options for question 17

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Equal numbers give an even sum, never 7, so the two events cannot happen together: I is true.

  2. Every sum is even or odd, so the two events cover the whole sample space: II is true.

Concept
Mutually exclusive and exhaustive events
Typical time
90 s
Your time
—
The rule this testsThe algebra of events
Practise this chapter →

Ten questions from Probability, at your own pace.

Practise this chapter →

Ten questions from Probability, at your own pace.