The number of different sequences possible to on-off the switches on the door opener of a garage when a garage door opener has 10 on-off switches.
The number of different sequences possible to on-off the switches on the door opener of a garage when a garage door opener has 10 on-off switches.
Solution Summary: The author calculates the number of different sequences of on-off switches on the garage door opener and the remote control when the switches are set at random.
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
Chapter 7, Problem 21T
a)
To determine
To calculate: The number of different sequences possible to on-off the switches on the door opener of a garage when a garage door opener has 10 on-off switches.
b)
To determine
To calculate: The probability that the switches will open a particular garage door when the switches on the remote control are set at random. The garage door openers have 10 on-off switches on the opener in the garage and on the remote control used to open the door.
c)
To determine
To calculate: The probability that a different new remote control will open the door, if owner does not change the sequence of switches on his remote control and a garage door opener has 10 on-off switches.
d)
To determine
The owner should do for a new garage opener do to protect the contents of his garage.
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