2 How many 7-digit numbers can be formed from the digits 1, 1, 2, 2, 4, 4 and 5 if repetition is not allowed. If one of these numbers is chosen at random, find the probability that it is a. greater than 4,000,000 b. even number and greater than 4,000,000

Q: A bag contains 4 yellow balls, 6 green balls and 10 red. If three balls are selected at random (one…

A: We have to find given probability.

Q: 24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8, 9}. a) How many 4-digit…

A:

Q: 24. Two lots of large glass beads are available (A and B). Lot A has four beads, two of which are…

A: Given:    Lot An(total) = 4n(chipped) =2    Lot Bn(total) = 5n(chipped) =2 Let C denote chipped bead…

Q: 1. Find the probability that exactly 2 of the fireworks in the sample are der 2. Find and label the…

A: X is the number of defective Fireworks in the sample of size 4. The probability distribution of…

Q: A.) How many distinct  permutations can be formed from all the letters of the word "unusual"? B.)…

A:

Q: Suppose that a finite class contains 40% freshmen,10% sophomores, 10% juniors, and the rest seniors.…

A:

Q: 1. A three- digit number with no repeated digits is made from the digits1 to 7. What is the…

A: As per Bartleby guidelines, we are supposed to solve only one question when multiple questions are…

Q: 2.63 Suppose that N people at a restaurant check their coats. The attendant loses the tickets so at…

A:

Q: Six digits from 2,3,4,5,6,7,8 are chosen and arranged in a row without replacement to create a…

A: Number must be even number as it is divisible by 2

Q: Determine the probability that exactly three of the balls are blue

A: Total bumber of balls = 12 Number of blue balls = 7 Number of red balls = 5 Sample size = 4

Q: (a) Find the number of distinguishable permutations of the letters MISSISSIPPI. (b) In how many of…

A: topic - permutations

Q: A certain three-cylinder combination lock has 80 numbers on it. To open it, you turn to a number on…

A:

Q: 5-digit code is to be created using only the digits 1,2,4,5,8 and 9. If the digits are allowed to…

A: Total possible 5 digit no. = 65 = 7776

Q: 2. Consider a hand of 6 cards chosen at random from a deck of 52 cards. Recall that there are 4…

A: We have to find out given probability....

Q: 3. There are 12-person jury is randomly selected for a court trial from a pool of 20 men and 35…

A:

Q: 23. a. How many integers from 1 through 1,000 are multiples of 4 or multiples of 7? b. Suppose an…

A:

Q: 5. After a set of three cards numbered 1, 2, and 3 are shuffled, one card is randomly chosen. If the…

A:

Q: 5. The probability of obtaining the number 6 exactly three times in ten rolls is a = 3 Hence, the…

A:

Q: 7. Suppose a jar has 100 coins, of which some are real, with heads and tails sides, but some are…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: 5. (a) Four people are to be chosen at random from five men and four women to form a team. Find the…

A: Let me discuss--> 5)  (a)  i)

Q: 8) Suppose that in a lottery game you are to pick five different integers between 1 and 50,…

A:

Q: A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue balls.…

A:

Q: If a license number is selected randomly, what is the probability that yours is the one selected?

A: 3 places to be filled with 10 choices for each place: 10*10*10= 10³ = 1000

Q: 6. A bag containing different colored balls has a random ball selected from it. If there are 7 red…

A:

Q: 2.5. Give your answer as a decimal number correct in one digit. The 60% of the staff members of a…

A:

Q: 2. A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. Find the…

A: Given data There are group of 10 women and 6 men.

Q: 3.From twelve tickets numbered from 1 through 12, two tickets are drawn, one after the other,…

A: 3. (a) The probability formula is, Probability=Favourable outcomesTotal outcomes Twelve tickets…

Q: A box contains 15 transistors,5 of which are defective. If 5 are selected at​ random, find the…

A: The probability that all transistors are defective is obtained as 0.0003, from the calculation given…

Q: A committee of 4 is to be randomly selected from 8 women and 10 men. What is the probability of…

A:

Q: 4. Let S={1,2,3,...,10}. Suppose you pick an element A from the power set of S. What is the…

A:

Q: 5. An FBI survey shows that about 20% (i.e., 0.2) of all property crimes go solved. Suppose that in…

A:

Q: In a certain state's lottery, 30 balls numbered 1 through 30 are placed in a machine and 5 of them…

A: Given data There are 30 balls numbered from 1 to 30. 5 balls are drawn at random.

Q: 4. Approximately 9% of men have a type of color blindness that prevents them from distinguishing…

A: Given that p = 0.09 , Find the probability that all of them will have this type of redgreen color…

Q: 17. A five figure number is formed by the digits 0, 1, 2, 3, 4 (without repetition). Find the…

A: There are 5 numbers given i.e. 0, 1, 2, 3, and 4.

Q: The combination to a lock consists of a sequence of three numbers in the range 0-28. a) How many…

A: Solution Given That, The combination to a lock consists of a sequence of three numbers in the range…

Q: 6) Suppose you are randomly assigned a 6 digit password for you West Valley portal account where the…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: and 10% Commerce students. If 10 students are selected at random, wa The students strength of a…

A:

Q: 52% of all Americans are home owners. If 43 Americans are randomly selected, find the probability…

A: Hello, since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 15. A bowl contains 15 chips numbered 1 to 15. If a chip is drawn randomly from the bowl, what is…

A: General formula of probability is ,    Probability = Number of favorable outcomes Total outcomes

Q: Suppose that a finite class contains 50% freshmen, 20% sophomores, 10% juniors, and the rest…

A:

Q: 2. A large population of crickets contains 30% who can chirp. Suppose 4 crickets are selected at…

A:

Q: Mangoes numbered 1 through 28 are placed in a bag for delivery. Two mangoes are drawn out of the bag…

A: S: 1,2,3, .....28Two mangoes are drawn out of the bag without ReplacementP(all the mangoes have even…

Q: 19 apples in a carton have numbers written from 1 to 19. Three apples are taken out of the carton…

A: Given that 19 apples in a carton have numbers written from 1 to 19. Therefore, the even numbers from…

Q: d marbles, 5 white marbles, and 10 blue marbles. You draw 3 marbles out at random, without…

A: Total number of red marbles= 7 Total number of white marbles= 5 Total number of blue marbles= 10…

Q: 3.From twelve tickets numbered from 1 through 12, two tickets are drawn, one after the other,…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: A lottery box contains 50 lottery tickets numbered 1 to 50. If a lottery ticket is drawn at random,…

A:

Q: L American Airlines' flights from Chicago to Atlanta are on time 60 % of the time. Suppose 14…

A:

Q: Suppose that a finite class contains 50% freshmen, 20% sophomores, 10% juniors, and the rest…

A: Let F denote Freshmen, S denotes Sophomores, J denotes juniors and R denotes the Seniors.  P denotes…

Q: b) A combination lock consists of 26 letters of the alphabet. If a 3-letter, combination is needed.…

A: The answer to the above question is as follows :

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.