Question

a lottery game contains 24 balls numbered 1 through 24. what is the probability of choosing a ball numbered 25?
a. 0
c. 24
b. 1
d. \frac{1}{24}
please select the best answer from the choices provided

Explanation:

Step1: Determine the number of favorable outcomes

Since there are no balls numbered 25 in the lottery (balls are numbered 1 - 24), the number of favorable outcomes \(n(F)=0\).

Step2: Determine the total number of outcomes

The total number of balls is 24, so the total number of outcomes \(n(T) = 24\).

Step3: Use the probability formula

The probability formula is \(P=\frac{n(F)}{n(T)}\). Substituting the values, we get \(P=\frac{0}{24}=0\).

Answer:

A. 0