Boomer, the Pacers mascot, has each student randomly pick one of ten small rubber basketballs out of a basket to receive a Pacer Fan Scholarship. Once the award is read, the ball is put back into the basket for the next student's pick. Five basketballs have an award for a $250 scholarship, two are $500 awards, two are $750 awards, and one is a $1000 scholarship.
What is the probability that a student draws a ball with an award less than a $500 scholarship?
What is the probability that none of the first three students pick balls for $1000 scholarships?