A state runs a lottery in which 6 numbers are randomly selected from 42, without replacement. A player chooses 6 numbers before the state's sample is selected. (a) What is the probability that the 6 numbers chosen by a player match all 6 numbers in the state's sample? (b) What is the probability that 5 of the 6 numbers chosen by a player appear in the state's sample? (c) What is the probability that 4 of the 6 numbers chosen by a player appear in the state's sample? (d) If a player enters one lottery each week, what is the expected number of weeks until a player matches all 6 numbers in the state's sample?

Q: A box contains 10 red chips, 20 blue chips, and 30 green chips. If 5 chips are drawn from the box,…

A: Let S be the sample space of an experiment and E  Let n(S) and n(E) denote the number of element in…

Q: An office employs 5 women and 3 men. During break time, the workers go one at a time into the coffee…

A: Given, No of women = 5 No of men = 3 Total = 8

Q: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​. The order of the…

A: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​.

Q: A bag contains 6 red marbles, 8 white marbles, and 10 blue marbles. You draw 4 marbles out at…

A: Given A bag contains 6 red marbles, 8 white marbles, and 10 blue marbles.

Q: A box contains 4 red balls, 8 white balls, and 6 black balls. Two balls are drawn at random from the…

A: probability of an event =number of choices of an event / number of total choices of sample space

Q: A bucket contains 10 tennis balls, 7 baseball and 9 golf ball. Suppose you pick 5 balls at random.…

A: Let us denote X=number of golf balls We have to find P(X≤2)=P(X=0)+P(X=1)+P(X=2)   X=0: we can pick…

Q: Three students are selected randomly from a group of 3 males and 7 females. Find the  probability…

A: Introduction: A group consists of 3 males and 7 females, that is, 3 + 7 = 10 students.

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: Suppose that there are four companies competing for five different government contracts. If the…

A: Introduction:The probability of an event in an experiment is the number of outcomes favorable to the…

Q: Delta Airlines flights from Minneapolis to Atlanta are on time 83% of the time. Suppose 6 flights…

A: It is given that n is 6 and p is 0.83.

Q: What is the probability to draw 5 cards in sequence in same suit from a deck of 52 cards?

A: From the given information, Total number of cards in a pack of deck = 52 Number of cards are drawn…

Q: The lottery system in Hungary uses the random selection of 7 integers from a group of integers…

A: Favorable cases = 7 integersTotal cases         =9 integers

Q: Assume that 12 people, including the husband and wife pair, apply for 4 sales positions. People are…

A:

Q: A company has 6 stores in New York and 7 stores in Chicago. Three of the stores are randomly…

A: (a) A company has totally 13 stores in which 6 stores in New York and 7 store in Chicago. The three…

Q: A jar contains 11 red marbles, 10 green marbles, and 12 blue marbles. (a) What is the probability…

A: A jar contains 11 red marbles, 10 green marbles and 12 blue marbles.

Q: box contains 5 blue marbles, 3 green marbles, and 9 red marbles. Suppose a group of 3 marbles is…

A: A box contains 5 blue marbles, 3 green marbles, and 9 red marbles.Total marbles=5+3+9=173 marbles is…

Q: A standard deck of cards contains 52 cards. One card is selected from the deck. ​(a) Compute the…

A: Total number of ways of drawing 1 cards from 52 cardsn(S)=52

Q: Personnel selection. Suppose that 9 female and 7 male applicants have been successfully screened for…

A:

Q: Suppose a box consists of 4 white, 3 blue and 3 green marbles. (a) How many ways can you pick 4…

A:

Q: A committee of 5 is to be selected from a group of 6 men and 9 women. Suppose the selection is made…

A: A committee of 5 is to be selected from a group of 6 men and 9 women.

Q: What is the probability of winning a lottery game where the winning number is made up of three…

A:

Q: 2 bishops are placed at random on a chessboard of 64 cells. One of the rooks is white and the other…

A: Two bishops of black and white are placed at random on a chessboard. One of the rooks is white and…

Q: A box contains 10 red chips, 20 blue chips, and 30 green chips. If 5 chips are drawn from the box,…

A: A box contains 10 red chips, 20 blue chips and 30 green chips. 5 chips are drawn from the box, we…

Q: A staff car park at a school has 13 parking spaces in a row. There are 9 cars to be parked. (i) How…

A: Solution : Given : There are 13 parking spaces in a row and 9 cars to be parked. i) Arrangements for…