Assume that 12 people, including the husband and wife pair, apply for 4 sales positions. People are hired at random. (1) What is the probability that both the husband and wife are hired?  (2) What is the probability that one is hired and one is not?

Among the products of the first company, defective is 10%, the second 20%, the third  25%. We bought 6 products from the first company, 8 from the second and 4 from the third. For verification, one product was tested. Find the probability that it is valid.

in their closet a pack rat has 7 pairs of boots plus 4 other boots which are unpaired as their match had been thrown in the trash. if they reach into their closet and grab a boot at random what is the probability that the matching boot is in their closet?

Kim and Susan are playing a tennis match where the winner must win 2 sets in order to win the match. For each set the probability that Kim wins is 0.59. The probability of Kim winning the set is not affected by who has won any previous sets. (a) What is the probability that Kim wins the match? (b) What is the probability that Kim wins the match in exactly 2 sets (i.e. only 2 sets are played and Kim is the one who ends up winning)? (c) What is the probability that 3 sets are played?