(2013?Ji'an simulation) The living room of Xiaohan's house is equipped with a three-position single-pole switch, which controls three electric lights in A (staircase), B (living room) and C (corridor)

(2013?Ji'an simulation) The living room of Xiaohan's house is equipped with a three-position single-pole switch, which controls three electric lights in A (staircase), B (living room) and C (corridor). (1)∵Small Han's living room is equipped with a three-position single-pole switch, respectively, controlling the A (stairs), B (living room), C (corridor) three lights,

∴Small Han arbitrarily pressed a switch, just the probability that the staircase light is on:

1

3

;

(2) Drawing a tree diagram yields:

∵*** There are 6 equal possible outcomes, exactly living room lights and hallway lights at the same time there are 2 cases,

∴ exactly living room lights and hallway lights at the same time the probability is:

2

6

=

1

3

.