A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.What is the probability of rolling a number less than 5?
Question
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.What is the probability of rolling a number less than 5?
Solution
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
Step 1: Identify the total number of outcomes. In this case, since the die is six-sided, there are 6 possible outcomes (1, 2, 3, 4, 5, 6).
Step 2: Identify the number of favorable outcomes. The question asks for the probability of rolling a number less than 5. The numbers less than 5 on the die are 1, 2, 3, and 4. So, there are 4 favorable outcomes.
Step 3: Calculate the probability. The probability is therefore 4 (favorable outcomes) divided by 6 (total outcomes), which simplifies to 2/3.
So, the probability of rolling a number less than 5 on a six-sided die is 2/3.
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