Questions: A die with 8 sides is rolled. What is the probability of rolling a number less than 7? Select one: A. 3/4 B. 7/8 C. 6 D. 1/8

Transcript text: A die with 8 sides is rolled. What is the probability of rolling a number less than 7 ? Select one: A. $\frac{3}{4}$ B. $\frac{7}{8}$ C. 6 D. $\frac{1}{8}$

Solution

Solution Steps

To find the probability of rolling a number less than 7 on an 8-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 the numbers 1 through 6, and the total possible outcomes are 1 through 8.

Step 1: Determine Total Outcomes

The total number of outcomes when rolling an 8-sided die is given by: \[ \text{Total Outcomes} = 8 \]

Step 2: Identify Favorable Outcomes

The favorable outcomes for rolling a number less than 7 are the numbers $1, 2, 3, 4, 5, 6$. Thus, the number of favorable outcomes is: \[ \text{Favorable Outcomes} = 6 \]

Step 3: Calculate Probability

The probability $P$ of rolling a number less than 7 is calculated using the formula: \[ P = \frac{\text{Favorable Outcomes}}{\text{Total Outcomes}} = \frac{6}{8} = \frac{3}{4} = 0.75 \]