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 new computer user creates a password consisting of one letter followed by a one-digit number (0 –…

A: Given data: The total number of digits is n=10. The total number of the alphabet is A=26.   The…

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: From given data, P(Green marble)=8/23 P(green marble for the first time before the fourth attempt)=?…

Q: A bag contains a total 20 marbles; 8 blue, 7 red, and 5 white If 2 marbles are chosen without…

A: From the provided information, Total marbles a bag contains = 20 Blue marbles = 8 Red marbles = 7…

Q: A group of 40 women and 40 men are in a room. A committee of 15 is chosen at random. Find the…

A: Obtain the probability that the committee consists only of women. The probability that the committee…

Q: The digits 5, 6, 7, 8, and 9 are randomly arranged to form a three-digit number. (Digits are not…

A: Given The digits 5, 6, 7, 8, and 9 are randomly arranged to form a three-digit number. (Digits are…

Q: Urn 1 contains 7 red balls and 1 black ball. Urn 2 contains 3 red balls and 1 black ball. Urn 3…

A:

Q: Jod are dealt two cards successively (without replacement) from a shuffled deck of numbered cards…

A:

Q: 3. A 3-digit number is form from the numbers 1, 2, 3, 4, 5 without replacement. Find the probability…

A:

Q: Suppose there are 7 jelly beans in a box-4 red and 3 green. If a jelly bean is selected at random,…

A:

Q: Urn 1 contains 7 red balls and 5 black balls. Urn 2 contains 1 red ball and 2 black balls. Urn 3…

A: Obtain the probability that an urn selected at random and the ball drawn is red.  The probability…

Q: What is the probability of rolling a 20-side number cube to a number that is a prime or even ? a-…

A: Probability = number of Favourable event/ total number of possible outcomes

Q: Each of the numbers 0 - 9 is written on a different golf ball. The ten golf balls are put in a paper…

A:

Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: 7 The probability that it is from the 40s is 40 1 The probability that it is from the 50s is 4 The…

A: It is given that    EraNo. of records  40s   7  50s  10  60s  1  70s  4  80s  8 Total

Q: wo coins are flipped. Find the probability that the first coin land on tails and the second coin…

A: as we know for independent events P(A and B) = P(A)*P(B)

Q: Pick a random number from 1 to 1000. Find the probability that this number is not divisible by any…

A: Number of element of C =cardinality of C=Card(C) =1000

Q: The digits 2, 3, 4, 5, 6, and 7 are randomly arranged to form a three-digit number. (Digits are not…

A: Given digits is 2,3,4,5,6,7No.of digits = 6No. of digits number to be arranged = 3

Q: Find the probability you pick blue from the last box if you… Pick one marble from box 1, place it in…

A: Number of blue ball box 1 have 1. Number of white ball box 1 have 1. Number of blue ball box 2 have…

Q: A test has four true-false questions. A completed test paper is selected at random and the four…

A: Note that each questions are independent of each other. Now a question has two options True / False.…

Q: A bag contains 20 white marbles, 6 red marbles, 11 blue marbles, and 8 yellow marbles. If a marble…

A: White marbles = 20 Red marbles = 6 Blue marbles = 11 Yellow marbles = 8 Total marbles = 20 + 6 +11 +…

Q: ach individual letter of the word TENNESSEE is placed on a piece of paper and all 9 pieces of paper…

A: Given letter is  : TENNESSEE Which contain nine letters we have formula for Probability=Possible…

Q: 30 tickets are sold and three prizes are to be awarded, find the probability that one person will…

A: Given Total tickets=30

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: Total number of balls in the jar is 23 (5 +3 + 8 + 7) and number of green ball is 8. The probability…

Q: 1. A large basket of fruit has 8 apples, 6 bananas, 4 pears, 11 oranges, and 5 mangos. a. If a piece…

A:

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.