Question

use the theoretical method to determine the probability of the outcome or event given below. the next president of the united states was born on tuesday the probability of the given event is \boxed{} (type an integer or a simplified fraction.)

Explanation:

Step1: Determine the total number of possible outcomes

There are 7 days in a week. So, the total number of possible days on which a person can be born is \( n(S)=7 \).

Step2: Determine the number of favorable outcomes

The event is that the president was born on Tuesday. So, the number of favorable outcomes \( n(E) = 1 \) (since there is only one Tuesday in a week).

Step3: Use the probability formula

The probability formula is \( P(E)=\frac{n(E)}{n(S)} \). Substituting \( n(E) = 1 \) and \( n(S)=7 \), we get \( P(E)=\frac{1}{7} \).

Answer:

\(\frac{1}{7}\)