Probability of Sum of Two Selected Numbers

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Questions and Answers

What is the total number of possible outcomes when selecting two different numbers from the first 12 positive integers?

  • 60
  • 72 (correct)
  • 78
  • 66

What is the condition for the sum of two numbers to be a multiple of 3?

  • Both numbers are multiples of 3
  • One number is a multiple of 2 and the other is 1 more or 1 less than a multiple of 2
  • Both numbers are odd
  • One number is a multiple of 3 and the other is 1 more or 1 less than a multiple of 3 (correct)

How many outcomes are possible when the sum of two numbers is a multiple of 3?

  • 26 (correct)
  • 30
  • 28
  • 24

What is the probability that the sum of two numbers is a multiple of 3 when two different numbers are selected from the first 12 positive integers?

<p>1/3 (B)</p>
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What is the relationship between the probability that the sum of two numbers is a multiple of 3 and the probability that the sum of two numbers is not a multiple of 3?

<p>They are complementary (C)</p>
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