Find the probability that the committee has a) 3 women and 2 men b) 4 women and 1 men

Q: When seven basketball players are about to have a​ free-throw competition, they often draw names out…

A: There are 7! Ways to arrange players for the free-throw competition, That is, there 5,040 ways to…

Q: Assume that each bag contains 6 balls. Bag a contains 3 red and 3 white, while bag b contains 2 red,…

A: Given that each bag contains 6 balls, Bag A contains 3 red and 3 white while Bag B contains 2 red…

Q: Assume that the committee consists of 7 Republicans and 6 Democrats. A subcommittee of 5 is randomly…

A: There are total (7+6)=13 persons. We can select any 5 persons from 13 persons in 13C5=1287 ways   If…

Q: If one card is drawn from a standard deck, find the probability of getting a black or a face card. O…

A: If one card is drawn from a standard deck, find the probability of getting a black or a face card:

Q: At a sorority meeting, there are 7 seniors, 4 juniors, and 3 sophomores. If a committee of 4 is to…

A: Number of seniors = 7 Number of juniors = 4 Number of sophomores = 3

Q: Assume that 15% of the people in your expedition trip own a mobile phone, and you are randomly…

A: Given that n=2,p=0.15

Q: From a box containing six black plates, eight white plates and ten blue plates, one plate is drawn…

A: Solution

Q: Suppose that a box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz…

A: A box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz music, and 7…

Q: When three basketball players are about to have a​ free-throw competition, they often draw names out…

A: From the provided information, The total possibilities of drawing their names can be obtained as:

Q: Assume that each bag contains 5 balls. Bag a contains 2 red and 3 white, while bag b contains 1 red,…

A: (1) There are five balls in each bag A and B Bag A contains two red and three white balls. Bag B…

Q: In a bag there are 9 gumballs, 15 chocolates, and 30 sour candies. Express the probability that the…

A: Given Data: The number of gumballs in the bag is: g=9 The number of chocolates in the bag is: c=15…

Q: Assume that the box contains 11 balls: 3 red, 3 green, and 5 blue. Two balls are drawn at random,…

A: There are total 11 balls, among which 3 are red, 3 green and 5 blue.

Q: If the spinner shown is spun twice, find the probability that the pointer lands on red on the first…

A: Probability is the chance of an event happening, that event can be anything from picking a card from…

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

A: Basic concepts of Probability and Permutation-Combination are used.

Q: A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. Find the…

A: Introduction: Definition: Probability A probability is a number that reflects the chance or…

Q: From 5 men and 5 women, a committee of four is chosen by lot. Find the probability that the…

A: Given dataThere are 5 men and 5 women A committee of four is chosen by lot.

Q: 5 people are to be chosen at random from 5 men and 4 women to form a team. Find the probability that…

A:

Q: a monthly report, the local SPCA states that it currently has 2 8 cats available for adoption. 16 of…

A: Note: As per the guidelines we are allowed to answer first three subparts. Kindly repost the other…

Q: The eye color of mice is determined by a dominant allele E, corresponding to black eyes, and a…

A:

Q: When ten basketball players are about to have a free-throw competition, they often draw names out of…

A: When 10 basket ball players are about to have a free throw competition, they often draw names out of…

Q: If three cards are drawn without replacement from a standard 52-card deck, find the probability that…

A: Given that, If three cards are drawn at random, find P(1st card was queen 2nd card was 5 3rd card is…

Q: Dan tosses a fair pyramid die that has four sides 3 times.  What is the probability he rolls at…

A: The fair pyramid die has four sides with numbers 1, 2, 3, 4. The die rolled 3 times. The formula for…

Q: Assume that two bags contain 4 balls each. Bag A contains 1 red and 3 white, while Bag B contains 2…

A: Given data: The number of red balls in the first bag is rA=1. The number of white balls in the first…

Q: A club at CBC has 6 History Majors, 5 English Majors, and 8 Psychology Majors. If a committee of 3…

A: It is given that there are 6 History, 5 English, and 8 Psychology Majors. Thus, Consider that n is…

Q: Find the probability that one person selected at random from these 300 persons is a faculty member…

A:

Q: B is fo

A: The three subsets are given which are A ,B and C. It is given that B is four times as likely as A.…

Q: Assume that two balls are being drawn without replacement from the urn tot he rigth. What is the…

A: There are total 18 balls in the given urn.  We can pick the first ball in 18 ways and the second…

Q: A sub-committee of 6 members is to be formed out of a group consisting of 7 men and 4 ladies.…

A:

Q: Assume that a particular professional baseball team has 10 ​pitchers, 5 ​infielders, and 10 other…

A: TO work out the required probability , using counting principles

Q: Of 120 students, 70 are studying Calculus, 50 are studying Filipino and 20 are studying Calculus and…

A:

Q: Find the probability that there is at least one open route from city A to city C.

A: Here use complement of probability

Q: Four rings are drawn from a box at a time and are not replaced. If the box has 5 white rings and 7…

A: Given Information: Number of white rings =5 Number of red rings = 7 Total number of rings =12.…

Q: A financial services committee had 60 members, of which 8 were women. If 7 members are selected at…

A: There are total 60 members. Among them 8 were women. So (60-8)=52 are men.We can select any 7 people…

Q: Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and…

A: We are given,1 blue3 white2 green2 red marbles.Total marbles = 8

Q: Suppose that a box contains five red balls and ten blue balls. If seven balls are selected at random…

A:

Q: Of 9 available candidates for membership in a university committee, 5 are 4) (4 men and 4 are women.…

A:

Q: If one card is drawn from a standard deck, find the probability of getting a black or a face card. O…

A:

Q: Assume that the committee consists of 8 Republicans and 7 Democrats. A subcommittee of 6 is randomly…

A: Obtain the probability that the new subcommittee will contain at least 2 Democrats. The probability…

Q: selected

A:

Q: At a sorority meeting, there are 7 seniors, 4 juniors, and 3 sophomores. If a committee of 6 is to…

A:

Q: From a group of 3 Indians. 4 Pakistanis and 5 Americans a sub-committee of four people is selected…

A: The number of ways to select r objects out of n distinct objects using the rule of combination is…

Q: Of 120 students, 70 are studying Calculus, 50 are studying Filipino and 20 are studying Calculus and…

A: Of 120 students, 70 are studying Calculus, 50 are studying Filipino and 20 are studying Calculus and…

Q: A bowl contains 12 chips, of which 6 are red, 4 are white, and 2 are blue. If three Q.5. chips are…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: is 4 workers per shift. Find the probability that on a particular shift, (i) exactly four workers…

A:

Q: Assume that the box contains 10 balls: 5 red, 2 green, and 3 blue. Two balls are drawn at random,…

A: The probability that first was blue and given that second was red is,Subscripts 1 and 2 represent…

Q: Applicants for the presidency of the APIEMS job consists of 10 Filipinos, 8 Australians, 12 Chinese…

A: We have given that,  Applicant for the job belongs corresponding countries in the below,  Filipinos…

Q: There are 400 brunets, 150 blonds, 200 brown-haired people and 50 red-haired people. Find he…

A: Solution

Q: from a  group of 6 students  A  ,B,C,D,Eand F ,three  students  are  randomly selected n the…

A:

Q: Find the probability that among the balls drawn, there is at least one ball of each colour.

A:

Q: From the integers 1,2,3,4,5,6,7,8,9, two integers are randomly selected, determine the probability…

A: Given integers: 1,2,3,4,5,6,7,8,9Now, we need to choose two integers from the above set.