Homework Answers
number of winning tickets =N(selecting 4 from 6 winning numbers and 2 from nonwinning 34 numbers)
=
=15*561=8415
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Q4 (10 points) In the pick-6 lottery involving the numbers 1-40 which we considered in the...
In a new lottery game, you must pick 6 numbers, chosen from 1-64. You win a...
In a new lottery game, you must pick 6 numbers, chosen from 1-64. You win a prize if your numbers match at least 4 of the numbers drawn. How many ways can a winning ticket have 4 correct (and two incorrect) numbers?
4.26 In a lottery game, three winning numbers are chosen uniformly at random from (1, ,100), samp...
4.26 In a lottery game, three winning numbers are chosen uniformly at random from (1, ,100), sampling without replacement. Lottery tickets cost $1 and allow a player to pick three numbers. If a player matches the three winning numbers they win the jackpot prize of $1,000. For matching exactly two numbers, they win $15. For matching exactly one number they win $3 d) Hoppe shows that the probability that a single parlayed ticket will ulti- mately win the jackpot is...
(1 point) A certain senior citizen purchases 51, "6-49" lottery tickets a week, where each ticket...
(1 point) A certain senior citizen purchases 51, "6-49" lottery tickets a week, where each ticket consists of a different six-number combination. The probability that this senior will win - (to win at least three of the six numbers on the ticket must match the six-number winning combination) on any ticket is about 0.018638. What probability distribution would be appropriate for finding the probability of any individual ticket winning? Part (a) How many winning tickets can the senior expect to...
Question 7 In a lottery six different numbers can be selected between 1 and 40. If...
Question 7 In a lottery six different numbers can be selected between 1 and 40. If these six numbers match the six numbers drawn from the machine, then you win the jackpot. If each lottery ticket costs £1, then how much has to be spent in order to obtain a probability of more than 50 per cent of winning the jackpot? 1. £10 million 2. £2.5 million 3. £1.9 million 4. £3.2 million 5. None of the above
We have a lottery with three prizes. Two of them are $30 and the grand is...
We have a lottery with three prizes. Two of them are $30 and the grand is $200. The total number of tickets is 70 and one for each person. No one can win more than a prize. When the tickets are pulled, the first two prizes of $30 are awarded, then the grand prize. a) how many ways we can award the prizes? b) Suppose a person has one ticket, what's the probability of winning any prize? c) If a...
Many states have a lottery game, usually called Pick-4, in which you pick a 4-digit number...
Many states have a lottery game, usually called Pick-4, in which you pick a 4-digit number (for instance, 3129). During the lottery drawing, there are four bins each containing balls labeled 0 through 9. One ball is drawn at random from each bin to select the winning lottery number . a. If you buy one ticket with one 4-digit number, what is the probability that you will win this game? b. What is the probability that the 4-digit number drawn...
1) In a new lottery game called "Minibucks", you select four numbers between 1 and 29....
1) In a new lottery game called "Minibucks", you select four numbers between 1 and 29. If you match all four numbers with the four numbers chosen by the lottery that day, you win the jackpot. (It doesn't matter whether the order that the lottery selected the numbers matches the order that you selected the numbers). What is the minimum number of different Minibucks tickets you would need to buy for one drawing in order to be 100% certain to...
In a lottery game, a player picks six numbers from 1 to 48. If 4 of...
In a lottery game, a player picks six numbers from 1 to 48. If 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? hints; The "favorable outcome" is to get 4 winning numbers and 2 non-winning numbers. How many ways can we get 4 winning numbers out of the 6 possible numbers? How many ways can we get 2 non-winning numbers out of all of the non-winning numbers?...
2. In the Texas Pick-6, six numbers are chosen (without repetition) from 1 through 54 and...
2. In the Texas Pick-6, six numbers are chosen (without repetition) from 1 through 54 and the order does not matter. You win the grand prize if you get all six numbers right. (a.) How many possible tickets are there? What is the probability of winning the grand prize? (b.) You win $1,595 if you pick 5 out of 6 correct numbers. What is the probability of winning $1,5952 (c.) You lose if you get fewer than 3 numbers correct....
In a lottery game, the jackpot is won by selecting five different whole numbers from 1...
In a lottery game, the jackpot is won by selecting five different whole numbers from 1 through 38 and getting the same five numbers (in any order) that are later drawn. In the Pick 4 game, you win a straight bet by selecting four digits (with repetition allowed), each one from 0 to 9, and getting the same four digits in the exact order they are later drawn. The Pick 4 game returns $5 comma 000 for a winning $1...
4.26 In a lottery game, three winning numbers are chosen uniformly at random from (1, ,100), sampling without replacement. Lottery tickets cost $1 and allow a player to pick three numbers. If a player matches the three winning numbers they win the jackpot prize of $1,000. For matching exactly two numbers, they win $15. For matching exactly one number they win $3 d) Hoppe shows that the probability that a single parlayed ticket will ulti- mately win the jackpot is...
Question 7 In a lottery six different numbers can be selected between 1 and 40. If these six numbers match the six numbers drawn from the machine, then you win the jackpot. If each lottery ticket costs £1, then how much has to be spent in order to obtain a probability of more than 50 per cent of winning the jackpot? 1. £10 million 2. £2.5 million 3. £1.9 million 4. £3.2 million 5. None of the above
2. In the Texas Pick-6, six numbers are chosen (without repetition) from 1 through 54 and the order does not matter. You win the grand prize if you get all six numbers right. (a.) How many possible tickets are there? What is the probability of winning the grand prize? (b.) You win $1,595 if you pick 5 out of 6 correct numbers. What is the probability of winning $1,5952 (c.) You lose if you get fewer than 3 numbers correct....
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