Question

500 baseball fans in new york are asked whether they hate the red sox. 410 of them answered \yes\. the empirical probability that a randomly chosen fan will answer \yes\ is blank. the empirical probability that a randomly chosen fan will answer
o\ is blank. (note: enter each answer as a fraction or as a decimal rounded to the nearest hundredth.)

Explanation:

Step1: Calculate probability of "yes"

The formula for empirical probability is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of fans who answered "yes" is 410 and the total number of fans is 500. So the probability of answering "yes" is $P(\text{yes})=\frac{410}{500}=\frac{41}{50}= 0.82$.

Step2: Calculate probability of "no"

The number of fans who answered "no" is $500 - 410=90$. Using the empirical - probability formula, the probability of answering "no" is $P(\text{no})=\frac{90}{500}=\frac{9}{50}=0.18$.

Answer:

The empirical probability that a randomly chosen fan will answer "yes" is 0.82.
The empirical probability that a randomly chosen fan will answer "no" is 0.18.