Multiple choice

If a die is thrown once, the probability of getting a number less than 3 and greater than 2 is

  1. 0

  2. 1
  3. $\frac{1}{3}$
  4. $\frac{2}{3}$
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A Correct answer
Explanation

A die has outcomes {1, 2, 3, 4, 5, 6}. Numbers less than 3 are {1, 2}. Numbers greater than 2 are {3, 4, 5, 6}. There is no number that is both less than 3 and greater than 2. Probability = 0.

AI explanation

When a die is thrown, the possible numbers are 1, 2, 3, 4, 5 and 6, and there is no number that is simultaneously less than 3 and greater than 2. Using the classical probability formula, we divide 0 favorable outcomes by 6 total outcomes. This results in a probability of 0.

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