Speedy Surveys Inc. one afternoon sent five surveyors to carry out a statistical study on matching birth data from a base point In the walking street of Mapletown.
The surveyor would ask a random person to give their first name, day and month of birth, then check for a match on their list. As soon as a match was found the surveyor would return to the base point with the list.
After return of the five surveyors with their lists, the data was collected and the process repeated again for a total of ten times.
The data were then compiled into a complete report for Speedy Surveys Inc.
As a special bonus, surveyors who interviewed someone who had the same birth data as themselves were awarded a free pizza meal at the famous Guiseppe’s Pizza House.
What would you say was the average number of persons that had to be interviewed by a surveyor to get a birth data match?
What would you say was the probability that at least two of the five surveyors were awarded a free pizza meal?