Multiple choice

Toss a fair coin $3$ times in a row, how many elements are in the sample space?

  1. $2$
  2. $4$
  3. $6$
  4. $8$
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D Correct answer
Explanation

Each coin toss has 2 outcomes. For 3 tosses, the sample space size is 2 * 2 * 2 = 8.

AI explanation

Use the fundamental principle of counting to find the total number of outcomes. A fair coin has 2 possible outcomes, and tossing it 3 times gives 2 multiplied by 2 multiplied by 2 outcomes. This calculates to 8, meaning there are 8 elements in the sample space.

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