In a case of 144 boxes of light bulbs, it is found that exactly 4 boxes contain at least one
broken light bulb. If 5 boxes are selected from the case at random, what is the probability
(rounded to 4 decimal places) that none of the boxes will contain a broken light bulb?
Suppose that a bag contains 8 balls numbered 1-8. If three balls are drawn from the bag
one at a time without replacement, how many different series of draws can occur that do not
contain a 5?
Suppose that a bag contains 3 red, 9 white, and 5 blue balls. If three balls are taken out of
the bag at once, what is the probability (rounded to 4 decimal places) that exactly two of
them are blue?
A senate committee is made up of 7 Democrats, 6 Republicans, and 1 Independent. From
this committee a 3 member subcommittee is chosen to attend an overseas conference.
How many subcommittees can be formed that consist of at least 2 Republicans?