In a lottery, six numbers are randomly chosen from the set {1, 2, 3, ... 49}, so there are possible choices. How many of those choices have at least two consecutive numbers?

Q: The table to the right categorizes 25 senators as to political party and gender. One member is…

A: .

Q: You play a lottery where, every day, a set of 6 numbers is chosen out of {1, . . . , 45} and…

A: Answer-  Number of ways to choose 3 winning numbers from possible 6 numbers =…

Q: Four donuts and three muffins. A guest takes an item at random from the platter but does not replace…

A: A tree diagram is used to represent a probability space. Each node of the tree on the diagram…

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A:

Q: A test consists of 14 questions that are divided into three sections. There are 6 questions in the…

A: A test consist  14  questions  Test is divided into three sections First section have 6 question…

Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: An Olympic final consists of two runners from each of four different countries. An ordered selection…

A: Given Total number of countries in an Olympic final =4 Total number of runners from each country =2…

Q: Among nine presidential candidates at a debate, three are Republicans and six are Democrats. In how…

A: Answer :- A) the nine candidates can be lined in =9! Ways  B) Answer :- I take  DDDDDDRRR  is 9C6…

Q: car park attendant loses the name tags for a set of seven car keys, so hands out the keys randomly…

A: We first count the number of ways to return the keys so that no one receives their own key. There…

Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the desired…

A:

Q: A common style of counting problem involves drawing from a deck of playing cards. In a standard deck…

A: The following Solution is provided below

Q: In a state lottery, there are 14 finalists who are eligible for the Big Money Draw. In how many ways…

A: Given for distributing first prize we have 14 choices.

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

Q: A lottery game consist of giant five the sinkhole numbers from the numbers 1 through 66 In any…

A:

Q: Assume that there are 9 pairs of shoes in a closet. How many single shoes must you choose at random…

A: Suppose the first shoe is chosen at random and after that 8 different shoes are chosen. Then the…

Q: Four people are to be selected at random from a group of four couples. In how many ways can this be…

A: The number of ways to select r elements out of total n distinct elements is estimated by the…

Q: Suppose that a player can choose any number at most 5 times. For example, a player might choose {3,…

A: Image is attached with detailed explanation.

Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the…

A: Given that, There are three dice rolled at the same time.

Q: Mrs. Mortlock uses a calculator program to select students at random to answer questions during…

A: Given that, There are 28 students in the class. The computer program is used to select the student…

Q: Each student in a class of 30 was randomly assigned one line of a random number table. Each student…

A: Here, it is clear that 50% of odd digits and 50% of even digits.

Q: Suppose you play a "daily number" lottery game in which three digits from 1-9 are selected at…

A: Given,no.of digits from 1-9 =9

Q: A lottery exists where balls numbered 1 to 19 are placed in an urn. To win, you must match the four…

A: Step 1:   Step 2: Step 3: Step 4:

Q: Select the following statements that are true. If 121 people are betting on the win, place, and show…

A: Let us look at the statements one by one. 1) Statement: If 121 people are betting on the win, place,…

Q: A lottery ticket consists of five different integers selected from 1 to 99. how many different…

A: Given: A lottery ticket consists of five different integers selected from 1 to 99. We want to…

Q: Toplay the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying…

A: It is given that a person selected 5 out of 45 numbers. Therefore, the total number of combinations…

Q: marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: Draw a Diagram At the conclusion of a baseball game whose teams included 10 players, each player on…

A: The number of fives given to the losing team will be =10×10=100 The number of fives given by the…

Q: A drawer contains n white and n black socks. Each white sock has unique design, and each black sock…

A: The provided information is as follows:The drawer contains  white socks and  black socks.The…

Q: A 5/34 lottery is a game where a player wins if they select any 5 numbers from 1 to 34.  How many…

A: Here we want to find the number of ways five number be selected out of 34

Q: A class has 30 students. For a school event, 15 students need to be chosen from this class. 5 of the…

A:

Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

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

Q: ourteen students have volunteered for a committee. Eight of them are seniors and six of them are…

A: Solution Given that 14 students have volunteered for a committee. Eight of them are seniors and six…

Q: large pile of coins consists of pennies, nickels, dimes, and quarters (at least 16 of each). How…

A:

Q: In a certain lottery the player chooses 5 numbers from the numbers 1 through 38. In how many ways…

A: The number of numbers chosen by player is 5.

Q: A A major Lottery game called 6/58 is very famous in the Philippines. A lucky winner will emerge if…

A: Given- A major lottery game called 6/58 is very famous in Phillippines. A lucky winner will emerge…