Three rock bands and three rap groups are performing a show. What is the probability that a rock band will perform both first and​ last?

Q: Two pair dice are rolled. What is the probability that both dice will land on a one.

A: Given that  Two fair dice are rolled. Total number of events (n) = 62 = 36   We know that…

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: Four persons are sitting at a rectangular table. What is the probability that the two older people…

A: From the given information we find the probability.

Q: Out of a deck of cards, what is the probability of getting a king of anyhting but hearts?

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds,…

Q: A couple has three children. What is the probability of the eldest one being a girl.

A: The probability formula is, Probability=Number of possible outcomesTotal outcomes Let G is defined…

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a Diamond or a…

A: Deck consists of 52 cards. n(S)=52 Let D be event that card is diamond. n(D)=13 Let H be event that…

Q: bag contains 4 blue balls and 8 red balls. If two are drawn from the bag at random, what is the…

A:

Q: There are 40 students in a class and 4 midterms. What is the probability that someone has a midterm…

A: Given data: The total numbers of students are n=40. The numbers of midterms are m=4.   The…

Q: A jar contains 10 red marbles, 6 green marbles, and 13 blue marbles. What is the probability that…

A: Given A jar contains 10 red marbles, 6 green marbles, 13 blue marbles.

Q: In a large city there are an average of 02 fires per year. What is the probability that next year…

A: Solution: Let X be the number of fires per year. From the given information, average number of fires…

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: A couple has two children. What is the probability that both are girls if the older of two is a…

A: The couple has two children.

Q: If you pick a card from a standard deck of cards, what is the probability of picking the 3 of…

A: Given that Number of cards in a deck  n(S)=52 We have to find the probability that  picking the 3 of…

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: There are 20 students who will join either volleyball team, or basketball team or both. If 12…

A: The number of student join both is   N(A or B) =N(A)+N(B)-N(A and B) N(A and B)= N(A)+N(B)- N(A or…

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a face or a…

A: Given : Let A be the event of getting face card from a deck of well-shuffled cards  P(A) = 1252 Let…

Q: Five girls and 6 boys on the debate team lined up randomly to walk on stage.  What is the…

A: Given: Number of boys = 6 Number of girls = 5

Q: What is the probability of having 3 boys given the oldest is a boy?

A: The theory of probability has its origin in the seventeenth century. The king of France who…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: Three people are selected for a committee from 7 Democrats and 3 Republicans. What is the…

A: It is an important part of statistics. It is widely used.

Q: 8 people are taking a driving test. If the probability of passing the test is 0.75. What is the…

A:

Q: A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a King or…

A: Given: Number of cards in a deck= 52 Number of Kings = 4 Number of Queens = 4 Number of Jacks = 4

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: Suppose we pick one card from a deck of cards, what is the probability of getting a King or a Spade?

A:

Q: A bag contains fibe green marbles,3 red marbles,and 4 white balls.What is the probability that a red…

A: Given, A bag contains 5 green balls,3 red balls, and 4 white balls To find the probability that a…

Q: Two coin are tossed. What is the probability of tossing “two heads or two tails”?

A:

Q: Five grade 10 students, six grade 11 students and four grade 12 have signed up for a trip. Only four…

A:

Q: In a class there are 18 boys and 12 girls. One child is chosen at random to represent the class.…

A: Answer: The number of boys in a class is 18 and the number of girls in a class is 12. Total number…

Q: A 200-page book was opened randomly. What is the probability that you opened to page 52 or a page…

A: Given :                      Number of ways choosing a page from 200 pages = 200

Q: What is the probability of having 4 boys given the oldest is a boy?

A: Solution

Q: A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected…

A: Given data, Red marbles=4 Blue marbles=3 Green marbles=7 Total no of marbles=14 P(Marble is blue)=?

Q: A bag of candies contains 14 jolly ranchers, 6 skittles, and 10 chocolates. What is the probability…

A: Solution: From the given information, a bag contains 14 jolly ranchers, 6 skittles and 10…

Q: Dad’s music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: Given that  Total music albums = n = 5 + 3 + 1 = 9 Rock music albums = 5 Classical music albums = 3…