Assume that the Navy football team has a 60% chance of beating the Army football team every time they play, and that the result of each game is independent of the results of all the other games (and assume there can be no tie games). If the Army and Navy play 10 games, what is the probability...

Three switches in an electrical circuit are connected in parallel. The probability of each switch working is P(A) = 0.6, P(B) = 0.7, P(C) = 0.8. What is the probability that at least one switch is working?

A tall building is designed for a 100-year wind; i.e. the probability of annual maximum wind speed exceeding the design speed is 1%. a) What is the probability that the design wind speed will be exceeded for the first time on the fifth year after completion of the building? How about the...

A man owns two old cars, A and B, and has trouble starting them on cold mornings. The probability both will start is 0.1; the probability B starts and A does not is 0.1; the probability that neither starts is 0.4. a) Find the probability that car A will start. b) Find the probability that car A...

License plate numbers consist of two letters followed by a four-digit number, such as SB7893 or AY1042. How many different plates are possible if letters can be repeated but digits cannot, and the four-digit number must be greater than 5500. The answer to this question is 1,514,240. ...