A garage door opener has six toggle switches, each with three settings: up, center and down. How many settings are possible in which two switches are up, two are down, and two are in the center?

Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible selections are there?

Three applications for admission to a local university are checked, and it is determined whether each applicant is male or female. The number of sample points in this experiment is:

An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is:

Some of the CDs produced by a manufacturer are defective. From the production line, 5 CDs are selected and inspected. How many sample points exist in this experiment?

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∩ B) =

If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A | B) =

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =