a. What is the probility of winning first prize?       b. What is the probability of winning second prize?

Q: Compute the probability of the union of two events Question If a card is picked at random from a…

A:

Q: Consider a political discussion group consisting of 5 Democrats, 6 Republicans, and 4 Independents.…

A: Given data  5 - Dernocrats, 6 - Republicans 4 - Independent  15 - total Two group of members  are…

Q: 5 cards are drawn simultaneously and at random from a standard deck of 52 playing cards. Using only…

A: A standard deck consists of 52 cards and 4 suits (Diamonds-D, Hearts-H, Spades-S, and Clubs-C); each…

Q: In an experiment, a fair six-sided number cube, numbered 1 through 6, was rolled 2 times to…

A: In the 10 trials given above only on Trial 7 the first roll is 4 which is an even number and the…

Q: 39. An auditor for Health Maintenance Services of Georgia reports 40% of policyholders 55 years or…

A: As per our guidelines, we are allowed to answer first three sub-parts. Thanks Given : Georgia…

Q: What is the probability that a card picked at random from a deck of 52 cards will be a red Queen? A)…

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Q: You draw two cards from this deck, one after the other, without replacement. What is the probability…

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Q: What is the probability of winning a lottery in which you must choose 5 numbers from the numbers 1…

A: Given: It is to find the probability of winning a lottery and choose 5 numbers from 1 through13. a)-…

Q: a researcher studying voting patterns among republicans, democrats, and independent voters intends…

A: Given, 75 Republican 80 Democrat 40 Independent Total = 75+80+40 = 195 The probability that at least…

Q: What is the probability of winning a lottery in which you must choose 5 numbers from the numbers 1…

A:

Q: nt ways can the officers be​ appointed?   b. How many different ways can the committee be​…

A: a). We know that the total number of qualified candidates = 12 =n…

Q: (i) How many different samples of 4 can be selected from the 50 disks? (ii) How many of these…

A: here given box contains 50 CD-ROM of which 5 are defective  quality control manager randomly select…

Q: In a particular lottery, 6 winning numbers are drawn from a set of 39 numbers. What is the…

A: We have to find the probability of picking exactly 2 of the winning numbers in this lottery

Q: There are eight female board members and twenty-two male board members. a. How many ways are there…

A: Given : No. of female board members (F) = 8 No. of male board members (M) = 22 Total board members…

Q: How many codes are possible? (b) How many codes contain at least one 9? (c) What is the…

A: Given ,        A 5 letter code      First 2 digits are number from 0-9 repeatable .     No of ways…

Q: (a) On a given day, what is the probability (in fraction form) that the employees park in…

A: Reviewing information, 5 employees A, B, C, D & E 5 parking spots in a row

Q: Solve the following counting and probability problems. (a). How many permutations of the letters in…

A: Permutations and Combinations The various number of ways an object from a set can be arranged either…

Q: Consider 12 face cards (kings, queens and jacks of hearts, diamonds, spades and clubs). Suppose you…

A: Given, 12 face cards To find the joint probability of drawing a jack first, and then a king next

Q: In a class of 100 students, 30 likes basketball, 30 likes volleyball, 30 likes soccer, 16 likes…

A: In total there are 100 students. 30 of the students play basketball out of which 16 like basketfall…

Q: A corporation must appoint a president, chief executive officer, chief operating officer, and cheif…

A: a.The total number of qualified candidates = 13.The officers need to be appointed = 4 (President,…

Q: If you draw one card at random from a deck of 12 cards numbered 1 through 12, inclusive, what is the…

A: Given, If you draw one card at random from a deck of 12 cards numbered 1 through 12,inclusive. The…

Q: probability of holding: a) two aces and two kings? b) five spades? c) A, K, Q, J, 10 of the same…

A: Here 5 cards are selected without replacement from total 52 cards

Q: 5 cards are simultaneously from a standard deck of 52 cards. a) What is the size of the sample…

A: The probability of an event is calculated by the number of observation in the event divided by the…

Q: e surveyed weather they took Physics, Biology or Chemistry. P - Physics B - Biology C - Chemistry A…

A: Given: n(only C) = 31 n(all) = 8 n(P and C  only) = 1 n(C and B only) = 6 n(total) = 180

Q: What is the probability of winning a lottery in which you must choose 4 numbers from the numbers 1…

A: Given,numbers from 1 through 15

Q: A state lottery game requires that you pick 6 different numbers from 1 to 45. (a) Assuming that…

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Q: a. What is the probability that exactly 10 of those selected would do internet voting? (Round to…

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Q: 1) According to the 2018 American Community Survey, California's population is composed of 39%…

A: Given: Probability of Latino = 39100=0.39 Probability of White = 37100=0.37 Probability of Asian…

Q: he executives in a company are four women and three men. Three are to be chosen at random to attend…

A: Comments: As per our guidelines we are supposed to answer only three subparts. Kindly repost other…

Q: The executives in a company are four women and three men. Three are to be chosen at random to attend…

A: Given that  The executives in a company are four women and three men. Three are to be chosen at…

Q: A draws a card from a well-shuffled pack of 52 cards, B tosses a fair coin, and C rolls a 6 faced di…

A: Given data, A draws a card from well-shuffled pack of 52 cards B tosses a fair coin C rolls a 6…

Q: * 63. A card is drawn at random from a well shuffled pack of cards. What is the probability that it…

A: GivenTotal no.of cards = 52No.of heart cards in a pack of cards =13No.of queen cards in a pack of…

Q: A card is drawn from an ordinary deck of cards and replaced, then a second card drawn. Find the…

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Q: Consider a political discussion group consiting of 5 democrats, 8 republicans, and 6 independents.…

A: From the provided information, Total democrats = 5 Total republicans = 8 Total independent = 6 Total…

Q: 18. Find the probability of being dealt a bridge hand of 13 cards containing 5 spades, 2 hearts, 3…

A: Let us suppose there are three balls viz. a red, a green and a black. From these, there are three…

Q: As a reward for a record year, a software company is randomly selecting 4 people from its 400…

A: The total numer of exhaustive cases of a random experiment is called a sample space S. n(S)= number…

Q: A corporation must appoint a president , ceo, coo and CFO . It must appoint a planning committee…

A: Given : A corporation appoint a president , ceo, coo and CFO and a planning committee with four…

Q: (a) What is the probability that at least 6 are from BA department (b) What is the probability that…

A: P(BA) = 0.5 = p1 P(CS) = 0.33 = p2 P(MS) = 0.17 = 93   n = 12

Q: In a normal deck of cards, what is the probability of drawing at random (assume Aces count as ones):…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A fair coin is tossed 9 times. (A) What is the probability of tossing a tail on the 9th toss, given…

A:

Q: 1. In the Massachusetts Pick Four lottery game, you win the jackpot by selecting 4 different whole…

A: We have to find given probability...

Q: Consider a political discussion group consisting of 5 Democrats, 6 Republicans, and 4…

A: Given data5 Democrats6 Republicans4 IndependentsTotal group size = 5 + 6 + 4 = 15As per the…

Q: Consider a political discussion group consisting of 4 ​Democrats, 9 ​Republicans, and 6…

A: GivenNo.of Democrats=4No.of Republicans=9No.of Independents = 6Total no.of members =19

Q: A standard provincial landline telephone number in Cavite contains area code of 3 digits and…

A:

Q: In a sample of college students, 100 live on campus, 60 live with family off campus, and 40 live in…

A: From the given information, it can be interpreted that the required probability of obtaining a…

Q: Given eight students, three of whom are female, if two students are selected at random, without…

A: Given information: Thee are 8 students. In 8 students, 3 are female and 5 are male. In the given…

Q: A corporation must appoint a president, chief executive officer (CEO), chief financial officer (CFO)…

A:

Q: A spinner is divided into five equal regions, numbered 1 through 5, as shown below. The arrow is…

A: We have to find given probabiity.

Q: What is the probability that all balls are green? b. What is the probability that exactly two of…

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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.