I explan you for a perticular case... Due to my poor internet connection I am not abel to Upload other proof.. I will do that shorly... Sorry for that.
10) Five people attended a smaller dinner party. Is it mathematically possible that each person shook...
-Discrete math course (10) At a table are 7 people who make a toast and touch glasses. Is it possible for each person to touch glasses with exactly 3 others? Either draw a graph showing how it can be done (edge indicating glasses touched), or explain why it can't be done. (10) At a table are 7 people who make a toast and touch glasses. Is it possible for each person to touch glasses with exactly 3 others? Either draw...
Problem 2. Is it possible for each person in a group of 9 people to be friends with exactly five of the nine? Explain your answer.
1. There are n married couples at a party (so, 2n people). Each person shakes hands with every person other than their spouse. Find the total number of handshakes.
Question 3 (10 points) You've invited 100 guests to a dinner party where the only item on the menu are shawarma sandwiches! Let X; (where 1<i< 100 denote the number of shawarma sandwiches the i-th guest consumes at the party. Suppose you believe that X; = 0,1, or 2 with probability 1/10,8/10, and 1/10 respectively (for 1<i<100). Suppose you also believe that the number of shawarma sandwiches each guest consumes is independent from the number of shawarma sandwiches other guests...
10. A multiple-choice test has 30 questions and each one has five possible answers, of which one is correct. If all answers were guesses, find the probability ofgetting exactly four correct answers. (Points : 3).0604.1325.2552.8000
1. In a standard five-card draw poker, each player receives 5 cards from a standard deck of 52 cards. Some possible hands in this game are su d in Table 1 below1 (a) Create a sample space to describe all possible hands Bill can play with Let E be the event that the hand contains at least two cards of the same rank and F be the event that the hand contains at least three cards of the same rank...
both 2. Number Cards: There are 25 people sitting around a table, and each person has two cards. One of the numbers 1, 2, 3, , 25 is written on each card, and each number occurs on exactly two cards. At a signal, each person passes one of her cards the one with the smaller number to her right-hand neighbor. Prove that, sooner or later, one of the players will have two cards with the same numbers. 3. Airplane: Imagine...
(10 pts.) A group of people at a hotel are going to dinner and need three cabs to get them to the restaurant. The arrival time for an empty cab has an exponential distribution with mean 1.5 minutes. Assuming the cabs operate independently, what is the probability that it will take the group more than 5 minutes to hail all 3 cabs? Explain your answer. (Hint: Consider the question, "Is the arrival time for 3 cabs equal to the sum...
10 people are seated to a 10 people spot in a row in the movies (a) How many different ways can they sit? (b) Suppose the 10 are five married couples who all want to sit with their spouses. How many ways can they sit? e) Suppose that Adam (one of the husbands) and Suzie (ane of the wives, not married to Adam) cannot stand each other. How many different sittings are there possible? (Each will still sit with their...
PROBLEM # PAGE1 Forty percent of a group of people are female and sixty democrats and 48% of males are democrats. A person is randomly selected from the group. (A) [10 points) What is the probability that the selected person is a democrat? (B) (10 points] If the person selected is found to be a democrat, what is the probability that this person is male? (C) (10 points) What is the probability that the person selected is a female democrat?...