An alumni association survey asked each high school graduate to select the one activity he or she preferred for the association's next event. Some of the people responded by phone, and the others responded by email. The table above shows the distribution of preferred activity, in percent, for each response type used. For the survey, the number of email responses was three times the number of phone responses. If a person who preferred the dinner dance is selected at random, what is the probability that the person responded by email?
| Phone | ||
|---|---|---|
| Dinner dance | 55% | 80% |
| Football game | 20% | 10% |
| Picnic | 20% | 5% |
| Pool party | 5% | 5% |
| Total | 100% | 100% |
