Sol a)
There are 49 balls of different number.
Drawing six balls of matching numbers on the ticket without replacement
Required number of ways =
Ans b) when the balls are drawing with replacement
6 balls out of 49 can be drawn with replacement =
If The number can be in any order then 6!=720
Required number of ways =
8. In a lottery, ll lra knly from a alls mubl 1,2,...,19. You choose 6 numbers...
8. In a lottery, 6 balls are drawn randomly from a set of 49 balls numbered 1, 2, . . . , 49. You choose 6 numbers on your ticket, and you win if you have the same 6 numbers as the numbers of the balls that are drawn. It does not matter if your numbers are in the same order as the order the balls are drawn (order does NOT matter). We consider two different lottery rules in the...
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?
to win a lottery you have to correctly pick the set of 6 numbers drawn from numbers 1-52 what is the probability of winning if you buy one ticket
Q4 (10 points) In the pick-6 lottery involving the numbers 1-40 which we considered in the examples of counting questions in class, you win the Match-4 prize if exactly four of your six numbers appear on the winning ticket. In a given lottery drawing, how many different tickets would win the Match-4 prize?
17) You are playing in a lottery where 3 balls are picked to determine the winner. There are a total of 30 balls and each ball is labeled with only one number from 1-30. The balls are not returned after they are drawn. a. What is the probability of the first ball being labeled with an odd number? b. Suppose you bought one ticket, what is the probability that if you chose 8-12-21 as your numbers that you will win?...
11.In a lottery game, the jackpot is won by selecting six different whole numbers from 1 through 38 and getting the same six numbers (in any order) that are later drawn. In the Pick 3 game, you win a straight bet by selecting three digits (with repetition allowed), each one from 0 to 9, and getting the same three digits in the exact order they are later drawn. The Pick 3 game returns $500 for a winning $1 ticket. Complete...
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...
a. Calculate the number of possible lottery tickets if the player must choose 8 numbers from a collection of 43 numbers (1 through 43), where the order does not matter, The winner must match all 8 b. Calculate the number of lottery tickets if the player must choose 7 numbers from a collection of 62 numbers (1 through 62), where the order does not matier. The winner must match all 7. c. In which lottery does the player have a...
In a lottery game, the jackpot is won by selecting four different whole numbers from 1 through 38 and getting the same four numbers (in any order) that are later drawn. In the Pick 5 game, you win a straight bet by selecting five digits (with repetition allowed), each one from 0 to 9, and getting the same five digits in the exact order they are later drawn. The Pick 5 game retuns $50,000 for a winning $1 ticket. Complete...
In the lottery game Fantasy 5 you have to select 5 numbers from the numbers {1,2,3,.......,38,39}. The jackpot today is $76,000. Each ticket costs $1. In this lottery each number must be different and the order of the numbers does not matter. a.) What is the probability of having a winning ticket? b.) What is the expected value of this game? c.) A fair game has an expected value of 0. How large does the jackpot have to be for...