The following contingency table summarizes the number of students at a college who have a Mastercard and/ or a Visa credit card.

a. Find the proportion of Mastercard holders who have VISA cards. Interpret and write this proportion as a conditional probability.
b. Find the proportion of VISA cardholders who have Mastercards. Interpret and write this proportion as a conditional probability.
c. Are the events having a Mastercard and having a VISA independent? Justify your answer.

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Have Do Not Have Visa Visa Total Have Mastercard 1,000 1,500 2,500 Do Not Have Mastercard 3,000 4,500 7,500 Total 4,000 6,000 10,000