The club finds that 70% of its members live within 10 miles of the club. A country club is trying to understand the demographics of its members. Of the members that live within the10 miles of the club, 80% of them spend at least $200 per month at the club. At last, only 30% of the members who live outside of 10 miles from the club spend over $200 per month at the club. Determine the probability that a randomly chosen member lives outside 10 miles from the club?