Yourself as well as 36 other people are in a cafeteria eating lunch. Each of you independently roll a fair six sided die. If yourself and a person to your left and right roll the same number you get to stay an extra 10 minutes before going back to class. This same rule goes for everyone else in the cafeteria. What is the expected amount of people staying the extra 10 minutes?

Q: A bag of gumballs contains 10 green gumballs, 8 orange gumballs, 12 pink gumballs and 15 red…

A: Given that A bag of gumballs contains 10 green gumballs, 8 orange gumballs, 12 pink gumballs and 15…

Q: Remember that each die has its own outcome, so rolling 2 and 5 is different from 5 and 2. List each…

A: From the information, given thatThe rolling of outcomes of 2 and 5 is different from 5 and 2. That…

Q: In one town, 28% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, Probability, p = 28% = 0.28 Sample size = 2

Q: A bag contains 6 red, 8 white, and 4 blue marbles. Find the probability of picking 3 blue marbles if…

A:

Q: What is the probability that she answered neither of the problems correctly?

A:

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: If you roll two dice, each with 8 faces/sides, what is the probability that you will get a sum of…

A: Given that If you roll two dice, each with 8 faces/sides, than we have to find the probability that…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: Find the probability of obtaining an even number in one roll of a die.

A:

Q: A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the…

A:

Q: A box contains 5 white,2 red and 2 black balls. If 3 are drawn in succession Which is the…

A:

Q: A student ran out of time on a multiple choice exam and randomly guessed the answers for two…

A:

Q: Find the probability that a randomly selected group of five adults will contain all women. Give your…

A: Let the probability of selecting a man and woman is 1/2

Q: A city council consists of 4 democrats and 7 republicans. If a committee of 6 people is selected…

A: we have to find the probability of selecting 5 democrats and 1 Republican.

Q: A quiz contains 4 multiple-choice questions. Each question has one correct answer to choose from 4…

A: Given:  Quiz contain 4 multiple choice questions each question with 4 option inwgich only one is…

Q: In a class of 65 students, 20 are nursing majors, 16 are parents, and 5 of the nursing majors are…

A:

Q: If you roll a standard six-sided die, what is the probability that you get a 1, 2, 3, 5, or 6? Give…

A: Given that, A standard six-sided die is rolled.

Q: in a break room there are 3 bags of pretzels 2 bags of doritos and 4 bags of popcorn .find the…

A: Total number of bags = 9 (i.e. 3+2+4) Number of pretzels bags = 3 Number of Doritos  bags= 2 Number…

Q: Determine the probability of being dealt 3 fives from a standard deck of 52 cards when 3 cards are…

A: There are four fives in a deck of 52 cards. So, the probability of getting 3 fives is: P=No. of…

Q: Caleb rolls two regular six sided dice determine the odds against him rolling an odd or a sum of 4

A: Given that Caleb rolls two regular six sided dice we have to find the odds against him rolling an…

Q: There are 4 sets of balls numbered 1 through 12 placed in a bowl. If 4 balls are randomly chosen…

A: Total number of sets = 4Total numbers (n) = 12

Q: A Bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double…

A:

Q: How much money would you have to lose in order for you average 0 per roll?

A: Here you play a game where you roll 2 six-sided dice. If you roll a 7, you will lose some money, but…

Q: There are 6 male students and 17 female students in a class. If you choose 2 students at random,…

A: Solution: From the given information, there are 6 male students and 17 female students. Total number…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.