A standard provincial landline telephone number in Cavite contains area code of 3 digits and telephone number of 6 digits. a. How many possible telephone numbers with area code are there in which no digit is repeated? b. What is the probability that the generated numbers are all 8s or all 9s?

A standard provincial landline telephone number in Cavite contains area code of 3 digits and telephone number of 6 digits. a. How many possible telephone numbers with area code are there in which no digit is repeated? b. What is the probability that the generated numbers are all 8s or all 9s?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: is the probab O 2/121

A: Given: Word = PROBABILITY Number of letters in PROBABILITY = 11 Number of I's in the word…

Q: A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 6-key…

A: The permutation is an arrangement of objects in a pre-defined order or placement. When repetition is…

Q: Determine the probability that the second card is another 1010. P(10 ∣10 of hearts) = ? b.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: .A box consists of five red markers and four blue markers. A teacher chooses four markers at random…

A: Solution-: Given: Number of red markers =5, Number of blue markers =4 Total number of markers = 5…

Q: Out of 250 applicants for a job, 140 are female and 30 are female and have a graduate degree. Step 2…

A: The formula of the conditional probability is defined as follows,Let A and B be any two events such…

Q: A dictionary contains the following 9 words: two, mice, three, squeaking, the, blind, deaf, birds,…

Q: Aces have a point value of 1 or 11. A 52-card deck contains 16 cards with a point value of 10 (jacks…

A: Probability is always the number of possible desired outcomes over the total number of outcomes.…

Q: marbles ected from the box, what is the probability t Jacer

A: Red = 14 white = 28 blue = 33 total = 75 what is the probability that it is not blue

Q: There are 6 people from West Virginia, 5 people from Maryland and 4 people from Pennsylvania in a…

A: Given data, No of people from West Virginia=6 No of people from Maryland=5 No of people from…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: Suppose we roll 10d6 and observe that the number 6 appears three times. What is the probability…

A: The arrangements of 3 six's among 10 results of dice will form the sample space of the random…

Q: Five cards are drawn randomly from a standard deck of 52 cards. Determine the probability that…

A: Total no.of cards in a standard deck of cards = 52 No.of ace cards = 4 Consider that five cards are…

Q: applicants for a job, 140 are female and 30 are female and have a graduate degree. Step 2 of 2: If…

A: Femalemaletotalhas graduate degrees302757not have college degrees11083193140110250

Q: A shelf has 6 Java books and 4 python books. what is the probability that three particular Java…

Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e…

Q: A card is drawn from a standard deck of 5252 playing cards. What is the probability that the card…

A: A card is drawn from a standard deck of 52 playing cards. There are 13 diamond cards in a deck.…

Q: Given an urn containing 2 pink balls,3 green balls, and 5 yellow balls.What is the probability of…

A: Given, the urn containing 2 pink balls,3 green balls, and 5 yellow balls To find the probability of…

Q: Andy flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The list below…

A: Given, flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The possible…

Q: From 1 to 69 numbers, What is the probability that two consecutive numbers in the 5 selected numbers…

A: Given the problem of selecting five numbers from 1 to 69.

Q: What is the probability if you randomly select a handful of 4 candy pieces you will pick one of each…

A: Solution: From the given information, there are 5 brown candy pieces, 7 blue candy pieces, 3 red…

Q: In Iowa license plates have a group of 3 numbers and 3 letters. The plates can either start with…

A: Given information: In Iowa license plates have a group of 3 numbers and 3 letters. The plates can…

Q: Perros Richard de la 41 receives 5 home orders every 2 minutes. a. How many home orders are…

A: Answer: Using the given data,

Q: If the letters s, e, n, s, e, I, e, s, and s are chosen at random, what is the probability that they…

A: We have given letters are : s,e,n,s,e,l,e,s and s Total number of letters = 9 Number of 's' letter…

Q: Choose a natural number between 1 and 26 , inclusive. What is the probability that the number is a…

A: The total number of elements in the set is 26 (between 1 to 26).

Q: A bag contains 7 red marbles, 6 blue marbles and 4 green marbles. If three marbles are drawn out of…

Q: A university is putting together a hiring committee of 9 members for the next university provost.…

A: From the provided information,Total members = 4 + 9 + 11 = 24A committee of 9 members is hired.

Q: Suppose five cards are drawn from a deck. Find the probability of obtaining the indicated…

A: It is known that, Number of cards in a deck = 52 Number of kings = 4 Number of aces = 4

Q: Out of 250 applicants for a job, 140 are female and 30 are female and have a graduate degree. Step 1…

A: Total no. of applicants for a job=250No. of female applicants=140No. of female and have a graduate…

Q: A jar contains 8 white, 11 blue, and 17 red marbles. If one marble is drawn at random from the jar,…

A: Answer Given,White marble = 8Blue marble = 11Red marble = 17Total marbles = 8+11+17 = 36

Q: A club has a membership of 6 freshmen, 2 sophomores, 3 juniors and 4 seniors. A committee of 4 is…

A: Obtain the probability that the committee consists of all freshmen. The probability that the…

Q: What is the probability of a correct guess on the first try?

A: Total number of keys= 6 It is given that repetition is allowed. Thus, Total number of ways first…

Q: On a roll of a die, what is the probability of landing a. Aneven number? b. An odd number? C. prime…

A: We have given that Roll a die Total number of outcomes=6 Sample space=S=(1,2,3,4,5,6) A=Even…

Q: A jar contains 77 white, 99 blue, and 1616 red marbles. If one marble is drawn at random from the…

A: (1) Obtain the probability that the marble drawn is white or blue. The probability that the…

Q: A reporter for an international newspaper is given an assignment that is randomly chosen from the…

A: 1111 continental United States assignments, 1717 South American assignments, 2525 European Union…

Q: A hand consists of 4 cards from a well-shuffled deck of 52 cards. a. Find the total number of…

A: The question is about counting and probability.Given :No. of cards in a deck = 52No. of cards in a…

Q: the card will be a diamond or a seven

A: Probability : In Statistics probability indicates the chances of an event to be occurred. The range…

Q: Ifa number is selected at random from each sets {1,2,3} and {3,4,5}, what is the probability that:…

A: Given sets : 1,2,3 and 3,4,5 Number of elements in both sets = 3. So, total number of outcomes =…

Question

A standard provincial landline telephone number in Cavite contains area code of 3 digits and telephone number of 6 digits.
a. How many possible telephone numbers with area code are there in which no digit is repeated?
b. What is the probability that the generated numbers are all 8s or all 9s?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?
40 Jennie's teacher told her to select two problems from a list of two C-level problems, five B-level problems, and one A-level problem. If she selected at random, what is the probability that she se- lected two B-level problems?
You have five 1-cents, two 10-cents, four 25-cents, and three 50-cents coins. What is the probability that those stacked coins are arranged in descending order?
The child's toy box contains 5 red, 4 blue and 3 yellow plastic balls. The child takes 4 random balls from the box. How big is the probability that there are 3 red and 1 blue ball amongst those taken? Select one: a. 7/11 b. 5/33 C. 19/111 d. 8/99
The 52 cards in a standard deck of playing are described below. There are 4 suits: Spades, Hearts, Diamonds, and Clubs. Within each suit, there are 13 ranks: A,K,Q,J,10,9,8,7,6,5,4,3,2 If 5 cards are dealt, what is the probability of getting 2 cards of the same rank and 3 unmatched cards? Write 9 digits to the right of the decimal point in your answer. Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer
Please in details, asap
Please
Five marbles are to be chosen at random from 8 red marbles and 5 yellow marbles. Find the probability that a. All 5 marbles are red. b. At least 2 marbles are red. c. 3 marbles are red and 2 marbles are yellow.
Please with explanation
What is the probability of flipping a coin three times and getting the following: A tails and a tails and a head. Please answer in numeric form; thank you!
There are eight different sizes of puzzles. Each person takes a turn selecting and keeps it. What is the probability that the first puzzle chosen is a 100-piece and the second is a 1000-piece puzzle?
Digits from 1 to 9 are randomly placed to form a 9-digit number. What is the probability that the number is divisible by 18.