Question

suppose you roll a special 8 - sided die. what is the probability that the number rolled is a 5 or a 6? enter you answer as a fraction or a decimal with 3 decimal digits.

Explanation:

Step1: Identify total and favorable outcomes

A standard 8 - sided die has 8 possible outcomes (1, 2, 3, 4, 5, 6, 7, 8). The favorable outcomes for rolling a 5 or a 6 are 2 (either 5 or 6).

Step2: Apply probability formula

The probability \( P \) of an event is given by the number of favorable outcomes divided by the number of total outcomes. So \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{2}{8} \). Simplifying \( \frac{2}{8}=\frac{1}{4} = 0.250\) (rounded to three decimal places).

Answer:

\( \frac{1}{4} \) or \( 0.250 \)