Questions: Question 2, 3.1.44 HW Score: 5.33%, 5.33 Homework Points: 0 of 5 A probability experiment consists of rolling a 6-sided die, numbered 1 to 6. Find the probability of the event below. rolling a number less than 5 The probability is (Type an integer or decimal rounded to three decimal places as needed.)

Solution Steps

To find the probability of rolling a number less than 5 on a 6-sided die, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. The favorable outcomes are rolling a 1, 2, 3, or 4. The total number of possible outcomes is 6, as the die has six sides.

The total number of possible outcomes when rolling a 6-sided die is 6, as each side represents a unique outcome.

The favorable outcomes for rolling a number less than 5 are the numbers 1, 2, 3, and 4. Therefore, there are 4 favorable outcomes.

The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Thus, the probability \( P \) of rolling a number less than 5 is:

\[ P = \frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{4}{6} = 0.6667 \]

Final Answer