A lottery game has players selecting 5 numbers at random from the numbers 1–55. The state picks 20 winning numbers. If the player's 5 numbers are selected by thestate, the player wins. What is the probability of winning?.....How many ways can the 5 numbers be chosen from the original 55 numbers, regardless of whether they are in the winning group or the losing group?3478761 ways(Type a whole number.)The probability of winning is:(Round to four decimal places as needed.)

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Answered: A lottery game has players selecting 5…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A lotto game is played by choosing 5 winning numbers (in any order) from 1, 2, ... , 39 a. In how many ways can the winning numbers be chosen? nothing (enter a whole number) b. Find the probability of winning if you randomly choose the numbers. nothing (enter a fraction)
5. When a roulette wheel is spun a ball ends up on one of the 40 numbers located on it; 19 of the numbers are black, 19 are red and 2 are green. Find the following: a. the probability that the ball lands on a green number. b. the probability that the ball lands on a number that is not red.
There are 4 suits (heart, diamond, clover and spade) in a 52 -card deck, and each suit has 13 cards. Suppose an experiment is to draw one card from a deck and observe what suit it is. Enter answer as a reduced fraction or a decimal rounded to 2 decimal places. a What is the probability of drawing a heart or diamond? b What is the probability of drawing a king or a red card?
A number is choosen at random from 1 to 25 . Find the probability of selecting a composite number
A state lottery involves the random choosing of five different numbers between 1 and 49. If you choose a 5-number combination, what is the probability that it will be the winner?
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.)
Three cards are selected one by one from a shuffled deck of playing cards. Each is replaced after being recorded before the next card is drawn.What is the probability that among the 3 cards recorded there is at least one diamond card?Enter your answer as a fraction in lowest terms.
a. A coin is flipped 5 times, find the probability of getting exactly 4 heads. b. A coin is flipped 5 times. Find the probability of getting at least 3 heads.
The 52 cards in a standard deck of playing are described below. There are 4 suits: Spades, Hearts, Diamonds, and Clubs. Within each suit, there are 13 ranks: A,K,Q,J,10,9,8,7,6,5,4,3,2 If 5 cards are dealt, what is the probability of getting 2 cards of the same rank and 3 unmatched cards? Write 9 digits to the right of the decimal point in your answer. Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer
Digits from 1 to 9 are randomly placed to form a 9-digit number. What is the probability that the number is divisible by 18?
2). You pick 100 cards from a deck of cards one at a time. You select the cards after replacing each card picked and shuffling. Find the probability that you select at least 8 kings.

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