SOLUTION: Hi, my teacher gave us this problem for homework, and I'm having a little bit of trouble solving it: Bob has 3 ways to get to work (train, car, and teleport). He independently cho

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Question 1047946: Hi, my teacher gave us this problem for homework, and I'm having a little bit of trouble solving it:
Bob has 3 ways to get to work (train, car, and teleport). He independently chooses 1 of the 3 to and from work. What is the probability that he teleports at least once during a day?
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
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Hi, my teacher gave us this problem for homework, and I'm having a little bit of trouble solving it:
Bob has 3 ways to get to work (train, car, and teleport). He independently chooses 1 of the 3 to and from work.
What is the probability that he teleports at least once during a day?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let me use T= train, C = car and P = teleport for brevity.

The table of possible outcomes is


To work   To home

  T          T
  T          C
  T          P   (*)
  C          T
  C          C
  C          P   (*)
  P          T   (*)
  P          C   (*)
  P          P   (*)

The number of lines where you see the symbol P is 5. (They are marked as (*)).

So, the probability under the question  is .


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