A probability experiment consists of rolling a 6 sided die. Find the probability of the event below: rolling a number less than 3? The probability is
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 = ?
1/3
To find the probability of rolling a number less than 3, we need to determine the number of favorable outcomes (rolling a number less than 3) and the total number of possible outcomes.
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.
To find the probability of rolling a number less than 3 on a 6-sided die, you need to determine how many favorable outcomes there are (i.e., numbers less than 3) divided by the total number of possible outcomes (i.e., the numbers on the die).
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.