Below are the names of ten students:
Dorothy Harold Tiffany Angela Patrick
Anthony Margaret Nancy Paul Jeremy
For the following, assume the probability of a student being chosen is the same
for each student. Also, assume that simple random sampling is being used. (If
necessary, use an exact decimal value for all probabilities.)
a.) What is the probability of choosing a student whose name ends with the
letter "k"?
b.) What is the probability of choosing a student whose name begins with the
letter "C"?
c.) What is the probability of choosing a student whose name contains the
letters "m" or "M"?
d.) A Math Club is formed using these ten students, and the club must consist of
seven students. How many ways can students be assigned to the Math Club?
e.) The ten students enter an art competition where first place wins $100,
second place wins $50, third place wins $25, and fourth place wins $10. How
many different ways can prizes be distributed?