Every month a street with 10 houses on it has a neighborhood party. The host is drawn randomly each month, and each house has an equal chance of being selected.

a. What is the probability that any family will be selected twice in a row?

b. In February and March two different families were hosts for the neighborhood party. In April what is the probability that March’s host family or February’s host family will be selected?

c. What is the probability that a particular family will be selected twice in a row?

d. The Steinman family was selected five times in the past two years – more than any other family. They believe that this proves that the selection process isn’t random. Why is their reasoning wrong? Theoretically, would the Steinman family be selected more than any other family if the selection process continued an infinite number of times?