The checking accounts of Sun Bank are categorized by the age of account and the account balance. Auditors will select accounts at random from the following 1000 accounts (numbers in the table are the number of accounts in each category):

a. What is the probability that an account is less than 2 years old?
b. What is the probability that an account has a balance of $1000 or more?
c. What is the probability that two accounts will both have a balance of $1000 or more?
d. What is the probability has a balance of $500–$999 given that its age is 2 years or more?
e. What is the probability that an account is less than 2 years old and has a balance of $1000 or more?
f. What is the probability that an account is at least 2 years old given that the balance is$500–$999?

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Account Balance Age of the Accoun Less than 2 years 2 years or more 0-$499 $500-999 $1000 or More 120 75 240 275 90 200