The state runs a lottery once every week in which six numbers are randomly selected from 17 without replacement. A player chooses six numbers before the state’s sample is selected. The player wins if all 6 numbers match. What is the probability that exactly 3 of the 6 numbers chosen by a player appear in the state’s sample? Report answer to 3 decimal places.

Question
The state runs a lottery once every week in which six numbers are randomly selected from 17 without replacement. A player chooses six numbers before the state’s sample is selected. The player wins if all 6 numbers match. What is the probability that exactly 3 of the 6 numbers chosen by a player appear in the state’s sample? Report answer to 3 decimal places.
 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Probability

Related Probability Q&A

Find answers to questions asked by students like you.

Q: Samples of rejuvenated mitochondria are mutated (defective) with probability 0.2. Find the probabili...

A: In this question, we need to find the probability that at least 6 samples need to examine to find th...

Q: according to police sources, a car with a certain protection system will be recovered 90% of the tim...

A: Given problem is a binomial distribution with:

Q: The rate at which customers are served at an airport check-in counter is a Poisson process with a ra...

A: The average number of customers served per hour is 11.9.So, for 5 hours, the average is (11.9 x 5) =...

Q: Water use in the summer is normally distributed with a mean of 300 million gallons per day and a sta...

A: It is provided that water use is normally distributed with mean of 300 million gallons per day and a...

Q: Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi villag...

A: Given Thickness measurement of ancient prehistoric Native american pot shards discovered in hopi vil...

Q: Suppose that the lifetime of a component (in hours), X is modelled with a Weibull distribution with ...

A: The probability distribution function of the Weibull random variable X is given by:

Q: The probability density function of the time to failure of an electronic component in a copier (in h...

A: The time to failure of an electronic component in copier follows Exponential Distribution with pdf f...

Q: Find z such that 60% of the standard normal curve lies to the left of z. (Round your answer to two d...

A: It is required to find the z-value such that, P (Z < z) = 0.60.

Q: The state runs a lottery once every week in which six numbers are randomly selected from 16 without ...

A: In this question, there is a lottery in which a person needs to select the 6 numbers if those 6 numb...

Q: For the experiment of drawing a single card from a standard​ 52-card deck, find ​(a) the probability...

A: Part (a):A standard deck of 52 cards has 4 suits of 13 cards each. In each of the four suits (diamon...

Q: My math problem is:  50% of the students enrolled in a business statistics course had previously tak...

A: Given 50% of students enrolled in buisiness statitics course enrolled in finite math course.among th...

Q: An urn contains five red balls and four white balls.  A sample of two balls is selected at random fr...

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The pro...

Q: A financial services committee had 60 members, of which 10 were women. If 8 members are selected at ...

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The pro...

Q: A service has five tasks, performed in sequence.  In the instance when there is more than one worker...

A: Process capacity:For the entire process, the process capacity is given by the lowest number of flow ...

Q: the carnival has come to town, and lucky louie has once again set up his pavilion. He offers a simpl...

A: Given two normal six sided dice are rolledtotal number of possibilities when two dice are rolled = 6...

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are ...

A: We have a computer system that allows user IDs which are six characters long,And, there is only alph...

Q: Many board games involve tossing two six sided dice. use a two way table to determine which sum has ...

A: Given two six sided dice are rolled. So possible outcomes of the sum are 2,3,4,5,6,7,8,9,10,11,12.Th...

Q: The following table gives the total endothermic reactions involving sodium bicarbonate:   Final ...

A: Consider the table gives the total endothermic reactions involving sodium bicarbonate:

Q: Let A = {4, 6}, B = {6, 11, 23}, D = {35} and S = sample space = A ∪ B ∪ D. Identify Ac ∩ B.a) {4, ...

A: Given information:The given events are as follows:A = { 4, 6 }, B = { 6, 11, 23 }, D = { 35 } and th...

Q: . Initial diagnosis of a patient’s illness was potentially flu (F), cold (C), or hay fever (H), with...

A: For bayes' theorem, its always better to draw probabilities in tree diagram to visually analyse them...

Q: Of the plays attributed to a playwright, 17 are comedies, 16 are tragedies, and 20 are histories. If...

A: Plays attributed to playwright are as follows:17 are comedies , 16 are tragedies and 20 are historie...

Q: How many different five​-letter passwords can be formed from the letters A, B, C, D, E, F, G and H i...

A: Permutation rule:From a group of n items, k items can be arranged in ordered ways in,

Q: There are 10c first tier national rugby union teams Argentina, AUstrallia, England France,Ireland, I...

A: (a) The number of ways to choose two team pairing among the ten teams will be:

Q: Find the z value such that 78% of the standard normal curve lies between −z and z. (Round your answe...

A: As it is given that 78% of the standard normal curve lies between –z and z that means 22% (100% - 78...

Q: Need help on this concept

A: Hello. The information about the nine sheets of paper is missing in the question and hence we are no...

Q: Use the Alternative formula for Variance to calculate the variance of the random variable in Table 1...

A: Find the mean of the random variable k using the given probability distribution.Discrete random vari...

Q: in cribbage the card game, I hand of six cards is dealt from a normal deck of 52 cards. What is the ...

A: Gven that a hand of six cards is dealt from deck of 52 cards.We need probability that we have all fi...

Q: Is the following argument valid or invalid? If it’s valid, rewrite the same argument symbolically(p,...

A: Given If you are Patrick Star, then this is your ID.     This ID was in this wallet.If this ID was i...

Q: If one dozen eggs are $2.30 and 30 eggs for $5.50 which one is the better deal?

A: In first deal one dozen eggs are $2.30. One dozen includes 12 eggs. To compare the two deals, let us...

Q: In a Ni-Cd battery, a fully charged cell is composed of nickelic hydroxide. Nickel is an element tha...

A: Let X be the nickel charge.The provided information are tabulated below:

Q: The probability that a person in the United States has Type B+ blood is 8%. Four unrelated people in...

A: Solution: We are given that the probability that a person in the United States has Type B+ blood = 0...

Q: How many diffrent ways are there to distribute 12 identical bones among three diffrent dogs?

A: It is known that, for any equation,

Q: A classroom contains 9 students. A student committee of 3 (president, vice-president, and treasurer)...

A: Total number of students = 9Student committee of three people with designations President, Vice-pres...

Q: Three students from a 20 student class will be selected to attend a meeting . 6 of the students are ...

A: Given that there are 20 students in the class and 6 of them  are female.

Q: Seven boys and five girls are going to a county fair to ride the teacup ride. Each teacup seats four...

A: Total number of possible arrangements:There are 12 seats in the ride. The number of people going for...

Q: 2.1 Sales personnel want to further develop the model to include other variables. Merchandise Sa...

A: Introduction to linear regression analysis:Regression analysis is a collection of statistical proced...

Q: A rare form of malignant tumor occurs in 11 children in a million, so its probability is 0.000011. F...

A: The probability of occurrence of malignant tumour in a child (p) = 0.000011.Total number of children...

Q: A fair dice is rolled four times.  What is the probability of obtaining a 3,2,3 and 3 in that order?

A: For any event A and the sample space S, the probability can be found as,

Q: In a study of environmental lead exposure and IQ, the data was collected from 148 children in Boston...

A: Denote X as the IQ scores. It is given that X is normally distributed, with mean μ = 115.9 and stand...

Q: refer to the table attached. What is the probability of the random occurrence of a value between 56...

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the ...

Q: www.scas A spinner is broken into sections labeled 1 to 24. What is the probability that, on your ne...

A: Total number os sections in spinner = 24.The labels on spinner = 1,2,3,4,5,....23,24.The total possi...

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a jack a...

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The pro...

Q: Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 13. (Roun...

A: Given sample size = n = 13Degree of freedom = n-1 = 13-1 = 12Given we need 95% confidence interval. ...

Q: In a student body, 50% use Google Chrome, 12% use Internet Explorer, 10% Firefox, 5% Mozilla, and th...

A: Click to see the answer

Q: How to Solve Truth Table ?

A: Logical operation:A logical operation is a special symbol or word that links two or more phrases of ...

Q: A company is selecting 5 people to be on a committee. There are 21 employees eligible to be on the c...

A: We have given,

Q: SHOW YOUR WORK FOR FULL CREDIT. BOX OR CIRCLE YOUR FINAL ANSWERS. 1. Consider the following proposit...

A: Givenp-Tom's PC runs Linuxq-Nancy's smartphone has 128 GB of memory.A conjuction is a compound state...

Q: To attend a business meeting in Los Angeles, a business traveler based inCincinnati must first fly t...

A: Conditional probability of two events:The conditional probability is the probability of one event gi...

Q: What are all the ways in which the top 4 racers in a 20 person race can finish?

A: Introduction:In the given situation, the number of persons participated in the race is 20. The requi...

Q: On four exams,Wallace's grades were 79,93,91 and 68. what grade must he obtain on his fifth exam to ...

A: Let Wallace's grade in the 5th exam be x.