5. A bin contains 5 red ball, 6 blue ball, and 13 green balls. We grab balls from the bin at random with no replacement. How many balls should we take to guarantee we obtain at least 6 green balls?

Q: 3) Describe a scenario involving pulling two consecutive cards from a deck that would be considered…

A: A deck has 52 cards.   An event will be called dependent to another event if the probability of its…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

A: If an event with n different possibilities are repeated r number of times, then the number of…

Q: What if you have a six sided die and a spinner with five spaces.  How many possible outcomes are…

A: We have a six sided die and spinner with five spaces

Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

A:

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: 5. A bag contains 20 identical red balls, 20 identical blue balls, 20 identical green balls, and one…

A:

Q: Ten athletes compete in a race. How many ways can they be awarded if only the first, second and…

A: there are 10 athletes compete in a race

Q: ains 5 red,4 white and 3 blue balls .3 balls are drawn at random. find out the number of ways of…

A: The box contains 5 red , 4 white and 3 blue balls.  It is given that 3 balls are drawn at random…

Q: 4) Female bees have two parents, one male and one female. Male bees have only one female parent. How…

A:

Q: olve the foolowing problems involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In…

A: For the given data Find 1.) In how many ways can a president, vice president, secretary and…

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is red and…

A: GivenA box containNo.of red balls = 8No.of green balls = 6Total no.of balls = 14

Q: Use the following information to answer the next three questions. A bag contains five different…

A: As per the question we have A bag with 5 different colored balls Red, White, Blue, Yellow and Green…

Q: A shipment of 95 TV sets is received. Five sets are to be chosen at random and tested for defects.…

A: Here we have Number of TV sets (n) = 95 Number of sets to be choosen (r) = 5 Here we will we the…

Q: There is a 6-on-6 dodgeball game (12 total players). After the game, each player shakes hands with…

A: Given that there is a 6-on-6 dodgeball game , total 12 players. After the game, each player shakes…

Q: 9. There are 3 different Geometry books, 3 different Algebra books, and 4 different Calculus books…

A:

Q: True or False? There are more people with blue eyes than there are people not wearing yellow? Not…

A: From the given data: People with the blue eyes = 12 People not wearing yellows = 22

Q: Count the number of permutations of the letters in MISSISSIPPI.

A: Number of permutation in given word is =Factorial of total number of lettersProducts of factorial of…

Q: A student is to answer 7 out of 10 questions in an examination. How many choices has she? How many…

A: The total number of questions: The number of questions she wants to answer:

Q: A coin is tossed five times. In how many ways can it fall three heads and two tails?

A:

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: Introduction: The dealer first picks 5 cards from the standard deck, then shuffles the 5 cards and…

Q: Out of 6 children, in how many ways can a family have at least 1 girl?

A:

Q: A bag contains four different balls colored Red, White, Blue, and Green. You cannot see into the bag…

A: There are four balls in the bag and two balls are selected at random without replacement.

Q: Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

A:

Q: 5. Since the regular season rankings matter for rankings in the playoffs (top two teams are rewarded…

A:

Q: Determine the p.f. of the number of heads that will be obtained

A: a fair coin is tossed 10 times independently. Each trial is independent Finite number of trial…

Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

A:

Q: Assume that a gambler playing keno has randomly chosen 4 numbers. In how many ways can the gambler…

A: Approach to solving the question:A popular gambling game called keno, first introduced in China over…

Q: There are 12 red balls and 11 blue balls in a bowl. Without looking at the balls, a woman chooses…

A: Solution We have given that  12 red ball and 11 Blue balls  Part 1 As there are 2 colours of balls…

Q: To determine what effect the salespeople had on purchases, a department store polled 700 shoppers as…

A: Given data :  Total  = 700 Made a purchase with happy  = 130 Made a purchase  not happy  = 118 Total…

Q: A poker game requires players to draw a card and roll a die. The combination of card and die will…

A: Let there be x types of item A and y types of item B . Then, the number of different combinations of…

Q: Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such line-ups…

A:

Q: A race is being run by ten horses. How many distinct permutations of first, second, and third place…

A: Let n be the number of horses run in a race. i.e. n=10 and r be the number of places to be awarded.…

Q: 7. A class consists of 15 students: 4 from Nevada, 5 from Michigan and 6 from Georgia. The professor…

A: The number of group consists of at most 1 student from Nevada is obtained below as follows :   From…

Q: 16. Apoker hand consists of 5 cards from a standard deck of 52 cards. Find the number of two of a…

A: There are total 13 denominations. {J,K,Q,A,2,3,4,5,6,7,8,9,10}.Each denomination has 4 cards.We can…

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls, how many color arrangements are…

A: A box contains 8 red balls and 8 green balls and 8 blue balls  The objective is to find the number…

Q: You are a professor of journalism and have 14 students in your class. How many ways can you line up…

A: Given,total no.of students=14

Q: 9. A bag contains 50 pennies, 50 nickels, 50 dimes and 50 quarters. You reach in and grab 30 coins.…

A: Total, 50 pennies 50 nickels 50 dimes 50 quarters Grab 30 coins Possible outcomes= ?

Q: 3. A sports team has ten long distance runners, eight sprinters and five jumpers. A team of three…

A: (3) No.of long distance runners = 10 No.of sprinters = 8  No.of jumpers = 5 consider that a team of…

Q: 4. Suppose you have 12 masks (three green, three purple, three yellow, and three orange) to…

A: Solution: Given information; Total masks=  3 green + 3 purple + 3 yellow + 3 orange n= 12

Q: 1. Draw a spinner with 3 or more sections that are not all the same size. 2. Your spinner is spun…

A:

Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the…

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C(…