5. The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates. Nine of the candidates are members of the debate team. (a) What is the probability that all of the offices are filled by members of the debate team? (b) What is the probability that none of the offices are filled by members of the debate team? (a) P ( all offices filled by debate team members ) = (Round to three decimal places as needed.) (b) P (no offices filled by debate team members) = (Round to three decimal places as needed.) 7. A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a four or six. (b) Compute the probability of randomly selecting a four or six or seven. (c) Compute the probability of randomly selecting a king or club. a. P ( four or six ) = (Round to three decimal places as needed.) b. P ( four or six or seven ) = (Round to three decimal places as needed.) c. P ( king or club ) = (Round to three decimal places as needed.) 8. The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below. 2 Click the icon to view the table. (a) The student is male or received a degree in the field The probability is (Type an integer or a decimal. Round to three decimal places as needed.) (b) The student is female or received a degree outside of the field The probability is (Type an integer or a decimal. Round to three decimal places as needed.) (c) The student is not female or received a degree outside of the field The probability is (Type an integer or a decimal. Round to three decimal places as needed.).