Mathematics · Probability

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 below shows the distribution of preferred activity, in percent, for each response type used. Preferred Activity Phone Email Dinner dance 55% 80% Football game 20% 10% Picnic 20% 5% Pool Party 5% 5% Total 100% 100% For the survey, the number of email responses was twice the number of phone responses. If a person who preferred a picnic is selected at random, what is the probability that the person responded by email?