In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusive. Find the probability that a ticket holder has:
i.) All four digits in exact order.
ii.) Two specified, consecutive digits in exact order (the first two digits, the middle two digits, or the last two digits).
iii.) One specified digit (the first, second, third, or fourth digit).
iv.) Three digits in exact order.
In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn...
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 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...
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...
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...
a) Two balls are drawn without replacement from an urn containing 12 balls, of which 7 are white and 5 are black. Find the probability that: (i) Both balls will be white (ii) Both balls will be the same color (iii) At least one of the balls will be white b) Repeat part (a) but with the balls drawn with replacement
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...
Many states in U.S.A have a lottery game, usually called a Pick-4, in which you pick a four-digit number such as 7359. During the lottery drawing, there are four bins, each containing balls numbered 0 through 9. One ball is drawn from each bin to form the four-digit winning number.a. You purchase one ticket with one four-digit number. What is the probability that you will win this lottery game? (2 marks)b. There are many variations of this game. The primary...
An urn contains 5 balls numbered 1 to 5. Two balls are drawn replacement Let X be the sum of the two numbers drawn. (a). What are the possible values of X? (b). if let X be the subtraction of the two numbers drawn.What are the possible values of X? (c). if let X be the product of the two numbers drawn.What are the possible values of X? (d). if let X be the Quotient of the two numbers drawn.What...
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of 1 through 51. At a lottery drawing, 6 balls are drawn at random from a box containing 51 balls, numbered 1 through 51. Find the following. (a) Probability the player matches exactly 5 numbers (b) Probability the player matches all 6 numbers (i.e. wins the lottery!) Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of...
Lottery statistics question. In the New York State Lottery there is a game called Win 4. The object of the game is to select, in order, each of the correct four single digit numbers 0-9 on the random drawing (i.e. each of the 4 numbers will be drawn independently and will result in a 4 digit number from 0000 to 9999 which you must get the numbers in the correct order to win). Suppose you want to play the Win...