a group of people gathered to watch a baseball game. while talking, they realized that 9 of them are…

a group of people gathered to watch a baseball game. while talking, they realized that 9 of them are washington nationals fans, and 18 of them are fans of other teams. what is the probability that the favorite team of a randomly selected baseball fan is the washington nationals? write your answer as a fraction or whole number. p(washington nationals) =

a group of people gathered to watch a baseball game. while talking, they realized that 9 of them are washington nationals fans, and 18 of them are fans of other teams. what is the probability that the favorite team of a randomly selected baseball fan is the washington nationals? write your answer as a fraction or whole number. p(washington nationals) =

Answer

Explanation:

Step1: Calculate total number of fans

The total number of fans is the sum of Washington Nationals fans and fans of other teams. So, $9 + 18=27$.

Step2: Calculate the probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (Washington Nationals fans) is 9 and the total number of outcomes (total fans) is 27. So, $P(\text{Washington Nationals})=\frac{9}{27}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$