find the probability of winning third prize — that is, picking 2 of the 4 winning numbers — with a 4/35 lottery.

Q: A committee of 3 people is to be randomly selected from a group of 8 people, including Sarah.…

A: To Determine: The probability that Sarah is selected to be on the three-person committee.

Q: L As only 3 students came to attend the class today, find the probability for exactly 4 students to…

A:

Q: a. Find the probability of getting exactly 1 girl in 8 births.

A: It is given that X : number of girls among 8 children.

Q: You want to randomly arrange 4 discs in a CD rack.  What is the probability that the rack ends up in…

A: We can arrange 4 CDs in a rack in 4!=24 waysWe can arrange them in alphabetical order in only one…

Q: Find the probability of rolling a “1” on a fair die, given that the last 3 rolls were all ones.

A: According to the provided data, it is known that a fair die is rolled. So, the probability of…

Q: ) Find the probability of randomly selecting an ELT and getting one manufactured by the Bryant…

A: Let us define some events A : an ELT is manufactured by Altigauge company. B : an ELT is…

Q: A fair coin is tossed 13 times. What is the probability of tossing 13 heads, given that the first 12…

A: Given: The probability of throwing 13 heads given that first 12 tosses are heads is denoted by…

Q: In a class of 6 girls and 5 boys, what is the probability of having girls and boys seated…

A: The provided information is  6 Girls 5 Boys  The arrangement is Girls on first seat and girls on the…

Q: An ice chest contains 4 cans of apple juice, 6 cans of grape juice, 6 cans of orange juice, and 8…

A: Probability of any event can be given by as P = no. Of favorable cases/, total no of cases

Q: Two cards are drawn at random from an ordinary deck of 52 cards. Find the probability that the…

A: The provided information is There are 52 cards of deck. We find the probability the 2-card hand…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: Find the probability of obtaining a 4 in each of two successive tosses of a pair of dice

A: In a dice, the probability of getting any number is equally likely Hence, P( first toss is 4) = 1/6…

Q: Calculate the probability of 3 heads in 5 tosses of a coin, where r is the number of heads…

A:

Q: In one lottery a player wins the jackpot by matching all five numbers drawn from white balls (1…

A:

Q: Find the indicated probability. A class consists of 27 women and 32 men. If a student is randomly…

A:

Q: Mikael Gabriel, the famous Finnish rapper, does speak English, but he has never studied Finite Math.…

A: It is given that the total number of questions is 5 and 8 answers per each question. The probability…

Q: Jolene is playing cards with her bestie when she draws a card from a pack of 35 cards numbered from…

A: A pack of cards numbered from 1 to 35. The number that is a square from 1 to 35 are 1, 4, 9, 16 and…

Q: One card is selected at random from a deck of cards. Determine the probability that the card…

A: Given a card is drawn randomly from a deck .

Q: Suppose that Alan is taking a multiple choice quiz where there are 3 choices for each question.…

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: A spinner has an equal chance of landing on either red, blue, or green. You spin six times. Was the…

A: Given colors are  red, blue, or green. So there are 3 colors. The probability of getting red=1/3…

Q: On a multiple-choice exam with 3 possible answers for each of the 5 questions, what is the…

A:

Q: In a drawer, there are 12 pairs of socks, 10 of which are white. If you randomly select two pairs of…

A: total pair of socks = 12 white pair of socks = 10

Q: Find the probability of randomly selecting 3 students from Utah out of a group of 12 students, 5 of…

A:

Q: Determine the probability that the second card is a 6. P(6∣10 of hearts) = ?

A:

Q: The probability of tossing a tail and then rolling a number greater than 6 is

A: Since , the coin is tossed and right-sided die numbered 1 through 8 is rolled. Our aim is to find…

Q: A coin is tossed 3 times. The probability of getting exactly two heads is

A: Here given that A coin is  tossed 3-times

Q: Miguel is playing cards with his brother when he draws a card from a pack of 30 cards numbered from…

A:

Q: Find the probability that the 12 cards being dealt contain equal number of suits.

A: The probability is the chance of occurrence of observations can involve in the sample by given equal…

Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: Tina draws a card at random from a deck of cards numbered from 1 to 30. What is the probability of…

A: The total number of cards is 30. The numbers divisible by 5 are 5,10,15,20,25 and 30. That is,…

Q: Jake and Agnes are playing a board game. If a player rolls a sum greater than 9 or a multiple of 6,…

A: When 2 dice are rolled then the total number of possible outcomes=6×6=36   The maximum sum is= 12…

Q: What is the probability of 4 heads turning up out of four tosses of the coin if the probability of…

A: The given context follows binomial distribution with n = 4 and p = 0.4.

Q: My friends owns 21 tapes. I want to help her randomly arrange 10 of them in a tape rack. What is the…

A: Given data my friend owns 21 tapes. I want to help her randomly by arranging 10 of them in tape…

Q: A committee of four is chosen from six accountants and eight actuaries. Find the probability that…

A: We have given that Number of Accountant = 6 Number of Actuaries = 8 Total number of people = 8+6 =…

Q: The Wilson family had 6 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Let n be the number of children's in a family = 6 Let p be the probability of a child being a girl =…

Q: In one version of a popular lottery game, a player selects six of the numbers from 1 to 54. The…

A: The selection of r things from a total of n things is obtained by the use of combinations. This is…

Q: . Find the probability that we will randomly choose the correct finishing order of the first,…

A: The number of ways of selecting correct finishing order in first time is 1 out of 50.

Q: Suppose you draw two coins from a bag containing 10 quarters, 8 dimes, 6 nickles, and 4 pennies.…

A: Given Total = 10+8+6+4 = 28 draw 2 coins  with replacing Find P( nickle than a penny ) =?

Q: Compute the probability of randomly drawing five cards from a deck and getting exactly one Ace. -…

A: There are 4 aces and (52-4)=48 non-aces in a deck of 52 cards.  If exactly 1 among the 5 cards is…

Q: In the game of Monopoly, a player is sent to jail if he or she rolls doubles with a pair of dice 3…

A: In a game of monopoly, player is sent to jail if he or she rolls doubles with a pair of dice 3 times…

Q: How many pennies can Morgan expect to select if he reaches into the bag 186 times, and replaces the…

A: Let p be the probability that Morgan will randomly select a penny from a bag of coins. Given that p…

Q: If you selected two of these stocks at random, what is the probability that both the stocks in your…

A: Given that there are 10 stocks. We can select any 2 stocks in 10P2=90 ways.   Among those 10 stocks,…

Q: Find the probability of winning second prize (that is, picking five of the six winning numbers) with…

A:

Q: Alfonso and Cordell each bought one raffle ticket at the state fair. If 50 tickets were randomly…

A: Alfonso can pick a ticket from 50 tickets in 50 ways.  When Alfonso picks a ticket then Cordell can…

Q: A coin is tossed six times. What is the probability of obtaining four or more heads ?

A:

Q: at a highschool with 200 students 32 play soccer 18 play basket ball and 8 play both sports. if a…

A: Let,A=students play soccerB=students play bascket ballP(A)=32200 =0.16P(B)=18200 =0.09P(A∩B)=8200…

Q: A cube has 2 faces painted red, 2 painted white, and 2 painted blue. What is the probability of…

A: Given: Red Painted =2 White Painted = 2 Blue Painted = 2 Total Faces of cube = 6

Q: In a recent survey, 60% of the community favored building a health center in their neighborhood. If…

A:

Q: Find the probability of getting 6 and 5 respectively in two throws of a die.

A:

Q: The probability of getting 7 or more heads when flipping a coin 10 times is ________. The…

A:

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.