One of the things that most bothers me about the Windows operating system is when it crashes when I’m trying to shut it down. It seems to be more likely to crash when I have put the computer on standby (sleep) earlier in the day. Suppose the probability that it crashes when it has been on standby earlier is 0.15, and the probability it crashes when it has not been on standby is 0.01, and that the probability that I put it on standby during a day’s usage is 0.5.
If you randomly grab one mouse observe its gender, place it back, and then repeat for a total of THREE times, what is the probability that one is male and 2 are female? Again, order matters. Keep your answer in decimal form and round to THREE decimal places.