Multiple choice

The probability of not getting an even number when a die is thrown is

  1. $ \displaystyle \frac{1}{6} $
  2. $ \displaystyle \frac{1}{4} $
  3. $ \displaystyle \frac{1}{2} $
  4. $ \displaystyle \frac{1}{3} $
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C Correct answer
Explanation

A die has outcomes {1, 2, 3, 4, 5, 6}. Even numbers are {2, 4, 6}. Not getting an even number means getting {1, 3, 5}. The probability is 3/6 = 1/2.

AI explanation

A standard die has 6 outcomes, consisting of the odd numbers 1, 3, and 5, and the even numbers 2, 4, and 6. The favorable outcomes for not getting an even number are the 3 odd numbers. Using the classic definition of probability, we calculate 3 divided by 6 to get 1/2.