Question 1

Provide an appropriate response.
-A tourist in Ireland wants to visit seven different cities. If the route is randomly selected, what is the probability that the tourist will visit the cities in alphabetical order? Round your answer to five decimal places.

Accepted Answer

The probability of visiting seven cities in alphabetical order out of seven randomly chosen routes is 1 out of 7 factorial (7!), because there is only one way to arrange the cities in alphabetical order out of the 7! possible arrangements. 7! equals 5040, so the probability is 1/5040, which equals approximately 0.00019841, rounded to five decimal places as 0.00020.

Question 2

Choose the one alternative that best completes the statement or answers the question.
-In California, each automobile license plate consists of a single digit followed by three letters, followed by three
digits. How many distinct license plates can be formed if the first number cannot be zero and the three letters
cannot form ʺGODʺ?

Accepted Answer

The answer of  Choose the one alternative that best...

Question 3

Provide an appropriate response.
-A delivery route must include stops at five cities. If the route is randomly selected, find the probability that the cities will be arranged in alphabetical order. Round your answer to five decimal places.

Accepted Answer

There is only one way to arrange the cities in alphabetical order out of the total possible arrangements. The total number of arrangements of 5 cities is 5! (5 factorial), which equals 120. Therefore, the probability is 1/120 = 0.00833 when rounded to five decimal places.

Question 4

Provide an appropriate response.
-A certain code is a sequence of 7 digits. What is the probability of generating 7 digits and getting the code
consisting of 1, 2, . . ., 7 if each digit can be repeated?

Accepted Answer

The answer of Provide an appropriate response.
-A certain code is...

Question 5

Provide an appropriate response.
-In the California State lottery, you must select six numbers from fifty-two numbers to win the big prize. The
numbers do not have to be in a particular order. What is the probability that you will win the big prize if you
buy one ticket?

Accepted Answer

The answer of Provide an appropriate response.
-In the California State...

Quiz 3: Probability

Provide an appropriate response. -A tourist in Ireland wants to visit seven different cities. If the route is randomly selected, what is the probability that the tourist will visit the cities in alphabetical order? Round your answer to five decimal places.

Provide an appropriate response. -A delivery route must include stops at five cities. If the route is randomly selected, find the probability that the cities will be arranged in alphabetical order. Round your answer to five decimal places.

Provide an appropriate response. -A certain code is a sequence of 7 digits. What is the probability of generating 7 digits and getting the code consisting of 1, 2, . . ., 7 if each digit can be repeated?

Provide an appropriate response. -In the California State lottery, you must select six numbers from fifty-two numbers to win the big prize. The numbers do not have to be in a particular order. What is the probability that you will win the big prize if you buy one ticket?