Traditional Culture Encyclopedia - Traditional festivals - (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)
(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 |
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