Question: Of 10,000 students at a college, 3000 have a MasterCard, 4000 have a Visa card, and 2,000 have both

a. Construct and fill a contingency table summarising the credit card data. Employ the following pairs of events M and \(\bar{M}\), V and \(\bar{V}\).

b. Find the probability that a randomly selected student has neither 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 card holder also holds a MasterCard. (5 points)

e. Are the events V and M independent? (5 points)