For the daily lottery game in Illinois, participants select three numbers between O and 9. A number cannot be selected more thanonce, so a winning ticket could be, say, 307 but not 337. Purchasing one ticket allows you to select one set of numbers. The winningnumbers are announced on TV each night.a. How many different outcomes (three-digit numbers) are possible?Number of different outcomesb. If you purchase a ticket for the game tonight, what is the likelihood you will win? (Round your answer to 4 decimal places.)Probabilityc. Suppose you purchase three tickets for tonight's drawing and select a different number for each ticket. What is the probability thatyou will not win with any of the tickets? (Round your answer to 4 decimal places.)Probability

a. We assume that such numbers as 012 are also three digit numbers. The first number can be selected…

Answered: For the daily lottery game in Illinois,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

Consider a standard deck of 52 playing cards. You are choosing 4 cards at once. a. How many ways will you have exactly one king and one heart? b. What is the probability of having at least one ace?
One card is selected randomly from a standard 52-card deck. a. What is the probability of drawing a two? b. What are the odds against drawing a two? i Click the icon to view a diagram of a standard 52-card deck. a. The probability of drawing a two is (Simplify your answer.)
Answer parts A, B, and C based on the following scenario. A jar has 20 marbles: 5 green, 7 blue, 8 red. A. What is the probability of randomly choosing a red marble? Answer with a simplified fraction or a percentage rounded to the nearest whole number. B. What is the probability of randomly choosing a red or a green marble? Answer with a simplified fraction or a percentage rounded to the nearest whole number. C. What is the probability of randomly choosing a red and then a green marble (keep the red marble when you choose it)? Answer with a simplified fraction or a percentage rounded to the nearest tenth.
In a state's lottery, you can bet $1 by selecting three digits, each between 0 and 9 inclusive. If the same three numbers are drawn in the same order, you win and collect $600. Complete parts (a) through (e). a. How many different selections are possible? 1000 b. What is the probability of winning? 1 1000 (Simplify your answer.) c. If you win, what is your net profit? $ 599 (Type an integer or a decimal. Do not round.) d. Find the expected value for a $1 bet. $ (Type an integer or a decimal. Do not round.)
There is a game of chance called "Lightning Dice" at a charity carnival. It costs $2 to play. The player then rolls 4 dice. If the player rolls 3 or more sixes, then the player wins $30. Otherwise, the player wins nothing. How much can you expect to gain or lose if you play this game 68 times?
Observe the question below and the two possible solutions. State which solution is correct and give a reason for your choice. For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table. Black Silver WhiteKorea 33 34 35Japan 23 9 24America 16 25 34Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is a black or white car manufactured in Korea. Solution 1 P (BUW) = P (B) + P (W) = 33/300 + 35/300 = 68/300 Solution 2 P (BUW) = P (B) + P (W) = 33/102 + 35/102 = 68/102
Suppose you play a game of rolling a 12-face die. You win if you roll a “3” or “6” or “9”. Otherwise, you lose. a. What is the probability of winning a game? Your answer is 1/4 . Write your answer in decimal number. b. What is the probability of losing a game? Your answer is Write your answer in decimal number. c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of betting on “3”, “6”, “9”. Hint: 10 x (probability of winning) + (–10) x (probability of losing). Your answer is Write your answer in decimal number. d. What is your expected value of betting on “3”, “6”, “9” for 50 times. Your answer is
K From a set of ten marbles, seven red and three yellow, we choose one at random. a. What are the odds in favor of choosing a red marble? b. What are the odds against choosing a red marble? a. The odds in favor of choosing a red marble are (Simplify your answers.)
An American roulette wheel contains 38 numbers: 18 are red, 18 are black, and 2 are green. When the roulette wheel is spun, the ball is equally likely to land on any of the 38 numbers. Find the probability of the ff a. red b. black c. green explain the answer

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