Either-or probabilities are found by adding the individual probabilities.
Less than 3 means a 1 or 2, each having a 1/6 probability.
1/6 + 1/6 = ?
Less than 3 means a 1 or 2, each having a 1/6 probability.
1/6 + 1/6 = ?
Favorable outcomes: The numbers less than 3 are 1 and 2.
Total number of possible outcomes: Since we are rolling a 6-sided die, the total number of possible outcomes is 6.
Therefore, the probability of rolling a number less than 3 is given by the number of favorable outcomes divided by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 6
Probability = 1/3
Hence, the probability of rolling a number less than 3 is 1/3.
Step 1: Determine the favorable outcomes:
In this case, the numbers less than 3 are 1 and 2. So, there are 2 favorable outcomes.
Step 2: Determine the total number of outcomes:
The die has 6 sides numbered from 1 to 6. Therefore, there are 6 possible outcomes.
Step 3: Calculate the probability:
Now let's calculate the probability by dividing the number of favorable outcomes by the total number of outcomes:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability = 2 / 6 = 1/3
So, the probability of rolling a number less than 3 on a 6-sided die is 1/3.