Question

suppose you roll a special 9-sided die. what is the probability that the number rolled is a \6\ or a \7\? enter you answer as a fraction or a decimal with 3 decimal digits.

Explanation:

Step1: Identify possible outcomes

A 9 - sided die has 9 possible outcomes: 1, 2, 3, 4, 5, 6, 7, 8, 9. So the total number of possible outcomes \(n(S)=9\).

Step2: Identify favorable outcomes

We want the number rolled to be 6 or 7. The number of favorable outcomes \(n(A)\) (where \(A\) is the event of rolling a 6 or 7) is \(2\) (since there are two numbers: 6 and 7).

Step3: Calculate probability

The formula for probability of an event \(A\) is \(P(A)=\frac{n(A)}{n(S)}\). Substituting the values we have, \(P(A)=\frac{2}{9}\approx0.222\) (rounded to three decimal places).

Answer:

\(\frac{2}{9}\) (or approximately \(0.222\))