The law firm of Hagel and Hagel is located in downtown Winnipeg. There are 10 partners in the firm: 7 live in Osborne Village and 3 live in St Boniface. Wendy Hagel, the managing partner, wants to appoint a committee of 3 partners to look into relocating the firm to larger office space with more parking available for customers. If the committee is selected at random from the 10 partmers, what is the probability that:
a. One member of the committee lives in St Boniface and the others live in Osborne Village?
b. At least one member of the committee lives in St Boniface?