A number of 5 different digits is written at random by use of the digits 1,2,3,4,5,6,8. Find the probability that the number will have even digits at each end.

Q: A printer contains 4 ink boxes and 5 cartridges.Find the probability of random selecting a set of 2…

A: Number of ink boxes = 4Number of cartridges = 5Total number of boxes = 4 + 5 = 9

Q: A basket contains 7 red marbles annd 3 white marbles. Three marbles are drawn one after the other.…

A: Here, the sampling method is not specified. The required probability is calculated based on sampling…

Q: A 4 member committee is formed from 8 teachers and 6 students. Find the probability that the…

A: Given,no.of teachers=8no.of students=6Total no.of members=14 and Cr=n!(n-r)!×r!n

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: A person wrote n letters, sealed them in envelopes and wrote the different addresses randomly on…

A:

Q: A bag contains 3 white, 4 black and 5 red balls. Three balls are dra random one after another…

A:

Q: At a desert road intersection on average 3 cars pass every day find the probability 5 cars will pass…

A: Number of cars passes in a day at a desert road intersection will follow Poisson distribution with…

Q: find the probability that the student gets at least 1 correct

A:

Q: There are 2 blue balls, 1 white ball and 3 red balls in an urn. 2 balls are drawn at random. Find…

A: It is given that Number of blue balls = 2 Number of white balls = 1 Number of red balls = 3 Total =…

Q: The box contains 4 blue, 7 red, 6 green and 3 yellow highlighters. A highlighter is picked at random…

A: There are total (4+7+6+3)=20 highlighters. Among them (4+7)=11 highlighters are blue or red.

Q: A quiz consists of 2 true-false questions and 4 multiple-choice questions (each with 4 choices with…

A: Given data Quiz consists of 2 true-false questions 4 multiple-choice questions Total question = 2+4…

Q: Suppose a jar contains 8 red marbles and 22 blue marbles. If you reach in the jar and pull out 2…

A: The objective of this question is to find the probability of drawing two red marbles from a jar…

Q: A jar contains four balls with numbered 1,3, 5 and 6. Another jar contains three balls numbered 2, 4…

A: Solution: From the given information, a jar contains four balls with numbered 1, 3, 5 and 6. Another…

Q: ix married couples are standing in a room. If 2 people are chosen at random, find the the…

A: Given data, Six married couples are standing in a room which means there are 12 people in a room. If…

Q: A group of 90 students is to be split at random into 3 classes of equal size. All partitions are…

A: Given : Total 90 students.

Q: From a group of 4 TV critics and 8 movie critics, we randomly select 5 people. If at least 2 movie…

A: Solution-:l We have 4 TV  critics and 8 movie  critics We randomly select 5 people If at least 2…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: Two marbles are drawn with replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble.…

A: Given,Number of white marbles, n(W) = 3Number of green marbles, n(G) = 2Number of red marbles, n(R)…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: Find the probability that on 8 attempts, he will miss at least one

A: Given that p=75%=0.75, q=1-p=1-0.75=0.25, n=8 p be the probability of basketball player making a…

Q: A box has 12 balls, 4 are red and 8 are green.  Randomly choose 3 balls from the box without…

A: We have given that,  Total balls = 12  Red balls = 4  Green balls = 8  Then,  We will find the…

Q: a three digit number is made by choosing 2,3,5,7,8. what is the probability that the number chosen…

A:

Q: Suppose a jar contains 18 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: Solution

Q: If you are dealt three cards from a shuffle deck of 52 cards find the probability that all 3 cards…

A: Obtain the probability that all 3 cards are picture cards. The probability that all 3 cards are…

Q: If two points are randomly chosen on the sides of the unit square, find the probability that the two…

A: Let's just take a random point on any 1 side of the square. Let this side be side a. Given that the…

Q: From 6 positive and 8 negative integers, 4 integers are chosen at random and multiplied. Find the…

A: 6 positive integers 8 negative integers __________________ 14 total integers   select 4 at random…

Q: A person randomly picks one of the numbers 1, 2 or 3, with identical probability each, and then…

A:

Q: A telephone operator gets called an average of 5 calls per hour. The probability that the operator…

A: We apply Poisson distribution to solve the problem.

Q: Four people are sitting around a table.  Every person gets 5 cards from 52 cards.  What is the…

A:

Q: A four digit number is formed using the digits 1, 2, 3, 5 with no repetitions. Write the probability…

A:

Q: A bag contains 3 white balls and 5 red balls. If two balls are drawn at random, find the probability…

A: 3 white and 5 red balls

Q: 9 people are randomly​ selected, find the probability that no 2 of them have the same birthday.…

A: Given If 9 people are randomly​ selected, find the probability that no 2 of them have the same…

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.