Question

toby tosses a 10 sided die 8 times and never gets a 3. what is the chance that the next roll will be a 3?

Explanation:

Step1: Determine the probability formula

The probability of an event \(E\) is \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).

Step2: Identify favorable and total outcomes

For a 10 - sided die, the total number of outcomes \(n = 10\) (the numbers \(1,2,\cdots,10\)). The favorable outcome (getting a 3) \(m = 1\).

Step3: Calculate the probability

Using the formula \(P=\frac{m}{n}\), we substitute \(m = 1\) and \(n=10\). So \(P=\frac{1}{10}=0.1 = 10\%\).

Answer:

10%