1) in a family with 6 children, excluding multiple births, what is the probability of having 4 boys and 2 girls? Assume that a girl is as likely as a boy at each birth. 2) a small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits from 0 to 9. If an opening combination is a particular sequence of 4 digits with no repeats, what is the probability of a person guessing the right combination?

Q: a particular airport, 85% of flights arrive on time. If 8 flights are selected at random, find the…

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Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Given Data: The probability that the student belongs to ethnic minorities is: p=33%=0.33 The total…

Q: 5. John has a special die with faces 1-1-1-3-3-5. When the die is rolled 300 times, what is the…

A: Define the Random Variables, Xi : The number got at i th roll The dice has six sides as, 1-1-1-3-3-5…

Q: Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly,…

A: First four are whack which means they are white and one of the first 5 drawn marbles.

Q: Suppose that we have a fuse box containing 40 fuses of which 6 are defective. If two fuses are…

A:

Q: A state runs a lottery in which 5 numbers are randomly selected from 50, without replacement. A…

A: Answer:----.                                   Date:----27/09/2021

Q: Suppose that a group has a capacity of at most 320 people. 1750 invitations to joint the group are…

A: See the hand written solution

Q: Suppose that n people, enumerated as 1, 2, · · · , n, sit randomly around a circular table. What is…

A: When no attention is given to the order of arrangement of selected objects, we get a combination.…

Q: An urn contains n white balls, m black balls and I red balls, which are drawn at random one at a…

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Q: Assume that there are two rooms and there are equal number of people in each room. One random person…

A: Given: Probability of one person will be = 12 Now when we repeat the event N times we get,

Q: From a well shuffled pack of 52 playing cards, 2 cards are drawn in a succession with out…

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Q: How many 3 digit numbers divisible by 15 can be formed from 2, 3, 5 and 7 without repeating any…

A: Company policies allow us to answer one question at one time. please share second question…

Q: A traffic light at a certain intersection is green 50% of the time, yellow 10% of the time, and red…

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Q: An urn contains 4 marbles. Each marble is either black or white. The number of black marbles could…

A: Let there are two events A and B. We have information about the event B given A. Now if we want to…

Q: Assume that 4 digits are selected at random from the set {1,2,3,5,8} and are arranged in random…

A: To compute the probability of the required event from the basic counting principles

Q: How many different ordered sequences of 3 digits can be arranged out of the number digits? b.How…

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Q: A sequence of 10 bits are randomly generated. What is the probability that there are at most two…

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Q: | Suppose that a DJ has two (2) turntables and one (1) microphone. If the failure rate of a single…

A: here you have posted many questions as all are different , I have calculated first main question…

Q: 4. Assume that 13% of people are left-handed. If we select 10 people at random, what is the…

A: There are different type of discrete distributions, some of them are binomial, Bernoulli, Poisson,…

Q: Suppose there are 12 pieces in a box, of which 4 are defective and 8 are perfect. If 3 pieces are…

A: It is given that the, There are 12 pieces in a box out of which 4 are defective and 8 are perfect…

Q: Suppose that all license plates in a state have three letters and then four digits. If a plate is…

A: There are 10 digits [0-9]  and 26 letters [A-Z]   We can pick each letter in 26 ways and each digit…

Q: If 10 cards are to be chosen at random (without replacement) from an ordinary deck of 52 cards, find…

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Q: If a number is selected at random from the first 50 natural numbers, what will be the probability…

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Q: According to the American Bankers Association, only one in 10 people are dissatisfied with their…

A: Given: Only one in 10 people are dissatisfied,  Probability of success = 110…

Q: Suppose there are 8 pieces in a box, of which 3 are defective and 5 are perfect. If 3 pieces are…

A:

Q: Suppose we want to form three-digit numbers using the set of digits [0,1,2,3,4,5). For example, 501…

A: a) Since 0 cannot be at first position, 2nd and 3rd position can take any number from the provided 6…

Q: Suppose that Team A and Team B play a sequence of baseball games against each other. On a given…

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Q: Suppose there are k students in a class, where 2 ≤ k ≤ 365. What is the probability that at least…

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Q: Suppose that a salesperson succeeds in making a sale with one in every five potential customers…

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Q: Suppose there are 4 red balls and 3 yellow balls in a box . 3 balls are drawn from the box without…

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Q: 2) Suppose that 6 balls will be randomly put into 4 urns (with each ball being equally likely to be…

A: Given,n=6p=14X=no.of balls put into the urnsX~Binomial(n=6,  p=14)P(X=x)=cxn px(1-p)n-x  ;…

Q: Consider that 30% of the students of a given class are engaged in project during the 13th week of…

A: Let E be the event that students of a given class are engaged in project during the 13th week of…

Q: Suppose that a card game uses a special deck of cards made of 50 cards, with 10 of them being each…

A: given data 5 different colours 10 cards of each colour  - one colour red   so,total 50 cards. select…

Q: Suppose a fuse box containing 20 fuses of which 5 are defectives. If 2 fuses were selected in random…

A: Given that there are 20 fuses of which 5 are defectives. And 2 fuses were selected in random and…

Q: uppose that whenever you randomly select a Douglas College student, there is a 10% chance that the…

A: From the provided information, There is a 10% chance that the student is left-handed that is p =…

Q: If a class filled with p students and they have p distinct heights . If these students line up in a…

A: We have to answer question based on classical probability theory.

Q: Suppose you have a box containing 8 balls, of which 5 are red balls bearing the numbers 1, 1, 1, 1,…

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Q: Suppose that 84% of students in a college have a smartphone. If you select three students at random,…

A: We have given that a Binomial distribution with parameter p=84%=0.84 and sample size n=3. The pmf of…

Q: In a New York State daily lottery game, a sequence of three digits (not necessarily different) in…

A: From the given information, Sample space (S) = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Number of three digits…

Q: a) Three marbles are drawn successively from a box containing 8 blue marbles, 7 red marbles and 3…

A:

Q: A six-sided die is tossed 12 times. How many distinct sequences of faces (numbers from the set {1,…

A: Number of tosses of six-sided dice =12 So, total number of possible outcomes = 612=2176782336 If…

Q: n a New York State daily lottery game, a sequence of five digits (not necessarily different) in the…

A: the probability that four of the five digits are the same

Q: What is the probability that a sequence will have exactly 5 heads

A: The total possible combination of sample sace S =27=128expected or successful events…

Q: Suppose we have a fuse box containing 16 fuses of which 6 are defective (D). If 2 fuses are selected…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: In the Illinois Lottery game Lucky Lotto, 5 balls are drawn without replacement from an urn…

A: An urn contains 45 balls number 1-45. 5 balls are drawn from it without replacement. To win all 5…

Q: Suppose that 23% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 23% of people own dogs, if you pick two people at random  Then probability that they own…

Q: 2. If a coded item in a catalogue begins with 3 distinct letters followed by 4 distinct non-zero…

A: Given, If a coded item in a catalogue begins with three distinct letters followed by 4 distinct…

Q: A committee of 4 is to be selected by lot from a group of 6 men and 4 women. What is the probability…

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Q: Assumed a source produces only two digits ("1" and "0") with probabilities of 0.6 and 0.4,…

A: The sequence is of length 5, and "0" and "1" can appear at any place with equal probability of 0.4…

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.