Please show me how to do step-by-step the following questions.
Of 10,000 students at a college, 3,000 have a Mastercard, 4,000 have a Visa card, and 2,000 have both.
a) Construct and fill in a contigency table summarizing the credit card data. Employ the following pairs of events: M and M, V and V.
b) Find the probility that a randomly selected student has neigther credit card.
c) Find the probability that a randomly selected student has a Mastercard or a Visa or both.
d) Find the probability that a Visa cardholder also holds a Mastercard.
e) Are the events V and M independent?