Question

a 4-sided die is rolled. the set of equally likely outcomes is {1,2,3,4}. find the probability of rolling a number less than 10.

the probability of rolling a number less than 10 is
(type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of favorable outcomes

The set of outcomes is \(\{1,2,3,4\}\). All numbers in this set (\(1,2,3,4\)) are less than \(10\). So the number of favorable outcomes \(n(F)=4\).

Step2: Determine the total number of outcomes

The die has \(4\) sides. So the total number of outcomes \(n(T) = 4\).

Step3: Use the probability formula

The probability formula is \(P=\frac{n(F)}{n(T)}\). Substituting \(n(F) = 4\) and \(n(T)=4\) into the formula, we get \(P=\frac{4}{4}\).

Answer:

\(1\)