The experiment is to roll a fair die once. Find the probability of observing a number less than 3.
Question
The experiment is to roll a fair die once. Find the probability of observing a number less than 3.
Solution
Step 1: Identify the total number of outcomes. When you roll a fair die, there are 6 possible outcomes (1, 2, 3, 4, 5, 6).
Step 2: Identify the number of favorable outcomes. In this case, the favorable outcomes are rolling a number less than 3. So, the favorable outcomes are 1 and 2. That's 2 favorable outcomes.
Step 3: Calculate the probability. The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes.
So, the probability of rolling a number less than 3 is 2 (favorable outcomes) divided by 6 (total outcomes) = 1/3.
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