In a certain lottery game, you choose a set of four different integers between 1 and...

In a certain lottery game, you choose a set of four different integers between 1 and 50, inclusive, and a fifth integer between 1 and 20, inclusive, which may be the same as one of the other four.

a) What is the probability you win the jackpot by matching all five numbers drawn?

b) What is the probability that you match three of the first four numbers, but not the fifth?

This is for discrete math

Expert Solution

a) P(matching all 5 numbers) = P(matching the first four numbers) * P(matching the fifth number)

= (4C4 / 50C4) * (1/20)

= (1/230300) / (1/20)

= 1 / 4606000

b) P(matching 3 of first 4 numbers but not the fifth) = P(matching 3 of first 4 numbers ) * (1 - P(matching the fifth number))

= (4C3 * 46C1 / 50C4) * (1 - 1/20)

= (4 * 46 / 230300) * (19/20)

= 437 / 575750

orchestra answered 1 year ago

In the lottery of a certain state, players pick six different integers between 1 and 49,...

In the lottery of a certain state, players pick six different integers between 1 and 49, the order of the selection being irrelevant. The lottery commission then selects six of these numbers at random as the winning numbers. A player wins the grand prize of $1,200,000 if all six numbers that he has selected match the winning numbers. He wins the second and third prizes of $800 and $35 respectively, if exactly five and four of his six selected numbers...

(1a) In a new lottery game called "Minibucks version 2", you select four numbers between 1...

(1a) In a new lottery game called "Minibucks version 2", you select four numbers between 1 and 25. If you match exactly three of your numbers with the four numbers chosen by the lottery that day, you win $5. What is the probability that you win this prize? Write your answer as a decimal accurate to four decimal places. (1b) A drawer contains 19 white socks and 5 black socks. Two different socks are selected from the drawer at random....

Lottery One state lottery game has contestants select 5 different numbers from 1 to 45. The...

Lottery One state lottery game has contestants select 5 different numbers from 1 to 45. The prize if all numbers are matched is 2 million dollars. The tickets are $2 each. 1) How many different ticket possibilities are there? 2) If a person purchases one ticket, what is the probability of winning? What is the probability of losing? 3) Occasionally, you will hear of a group of people going in together to purchase a large amount of tickets. Suppose a...

In a certain lottery, six numbers are randomly chosen form the set {0, 1, 2, ...,...

In a certain lottery, six numbers are randomly chosen form the set {0, 1, 2, ..., 49} (without replacement). To win the lottery, a player must guess correctly all six numbers but it is not necessary to specify in which order the numbers are selected. (a) What is the probability of winning the lottery with only one ticket? (b) Suppose in a given week, 6 million lottery tickets are sold. Suppose further that each player is equally likely to choose...

Use set notation to list the elements. 1.The set of positive integers between 5 and 9....

Use set notation to list the elements. 1.The set of positive integers between 5 and 9. 2. The set of seasons in a year. State whether the first set is a subset of the second set. 3. {7, 9, 11}; {The odd counting numbers} 4. {The integers larger than 5}; {7, 8, 9,…} Find the cardinality for the set. 5. A = {The number of seconds in a minute} 6. A = {-8, -7, -6,…, 0}

Prob Set 1 Lottery question 3 3. You just won $250,000 on a lottery ticket. You...

Prob Set 1 Lottery question 3 3. You just won $250,000 on a lottery ticket. You plan to save the money in a retirement account expected to return 8% per year. If you intend to retire in 20 years, how much are these winnings expected to be worth when you retire? a) Suppose you win the lottery but are given the following choice: 1) receive $250,000 today in a lump sum or 2) receive annual payments of $20,000 for...

Create a JAVA lottery game application. Generate four random numbers, each between 0 and 9 (inclusive). Allow the...

Create a JAVA lottery game application. Generate four random numbers, each between 0 and 9 (inclusive). Allow the user to guess four numbers. Compare each of the user’s guesses to the four random numbers and display a message that includes the user’s guess, the randomly determined four-digit number, and the amount of points the user has won as follows: No matches 0 points Any one digit matching 5 points Any two digits matching 100 points Any three digits matching 2,000 points All four...

In a certain state lottery, a lottery ticket costs $1. In terms of the decision to...

In a certain state lottery, a lottery ticket costs $1. In terms of the decision to purchase or not to purchase a lottery ticket, suppose that the following payoff table applies: State of Nature Win Lose Decision Alternatives s1 s2 Purchase Lottery Ticket, d1 600000 -1 Do Not Purchase Lottery Ticket, d2 0 0 A realistic estimate of the chances of winning is 1 in 260,000. Use the expected value approach to recommend a decision. If required, round your answer...

As a winner of a lottery you can choose one of the following prizes: 1) £1...

As a winner of a lottery you can choose one of the following prizes: 1) £1 million now. 2) £1.5 million at the end of six years. 3) £80,000 a year forever, starting in one year. 4) £150,000 for each of the next ten years, starting in one year. If the discount rate is 8 per cent, which is the most valuable prize?

For today's assignment you will choose four different electronic devices and four different consumer products (other...

For today's assignment you will choose four different electronic devices and four different consumer products (other than electronics) of your choice and answer the following for each: 1) The year it was introduced and its initial or introductory price 2) What is the price now? 3) Where is it located in the product life-cycle? (what period, your opinion) 4) Is it being replaced (discontinued or discounted) by a newer version? 5) In your opinion (if it has not happened yet)...

Question