The probability that a code word selected randomly begins with string ABC where a code word is of seven characters which is a combination of letters and digits where first three characters can be any letter or digit and last four characters must be a digit. For example, 7A32765 is permissible, but 7A3B765 is not.
The probability that a code word selected randomly begins with string ABC where a code word is of seven characters which is a combination of letters and digits where first three characters can be any letter or digit and last four characters must be a digit. For example, 7A32765 is permissible, but 7A3B765 is not.
Solution Summary: The author calculates the probability that a code word selected randomly begins with ABC.
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 6, Problem 21RE
(a)
To determine
To calculate: The probability that a code word selected randomly begins with string ABC where a code word is of seven characters which is a combination of letters and digits where first three characters can be any letter or digit and last four characters must be a digit. For example, 7A32765 is permissible, but 7A3B765 is not.
(b)
To determine
To calculate: The probability that a code word selected randomly ends with 6578 where a code word is of seven characters which is a combination of letters and digits where first three characters can be any letter or digit and last four characters must be a digit. For example, 7A32765 is allowed, but 7A3B765 is not.
(c)
To determine
To calculate: The probability that a code word selected randomly includes three letters followed by four even digits where a code word is of seven characters which is a combination of letters and digits where first three characters can be any letter or digit and last four characters must be a digit. For example, 7A32765 is allowed, but 7A3B765 is not.