To determine Probability of six lottery numbers that match six randomly selected balls when the balls are numbered 1 through 36. Explanation Given: There are 36 balls, numbered 1 through 36. Six balls are to be selected randomaly. Formula used: We use the combination formula as: C r n = n ! r ! ( n − r ) ! And the probability of an event E is given using the formula, P ( E ) = n ( E ) n ( S ) = Total favorable outcomes Total outcomes Calculation: Here number of total favorable cases is 1 that is six randomly selected balls and total outcomes is the combination problem where 6 balls are to be selected out of total 36 balls. So, total outcomes are C 6 36 . Here n = 36 , r = 6 So, n ( S ) = C 6 36 = 36 ! 6 ! ( 36 − 6

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

6th Edition

ISBN: 9780321914620

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

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Chapter 7.E, Problem 47E

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Probability of six lottery numbers that match six randomly selected balls when the balls are numbered 1 through 36.

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Chapter 7.E, Problem 46E

Chapter 7.E, Problem 48E

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Chapter 7 Solutions

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

Ch. 7.A - Suppose you toss one coin three times in a row and...Ch. 7.A - During the course of the basketball season, Shawna...Ch. 7.A - A box contains 20 chocolates, but only 2 of them...Ch. 7.A - Prob. 4QQ Ch. 7.A - When you toss one coin, the probability that...Ch. 7.A - On a roll of two dice, Serena bets that the sum...Ch. 7.A - Suppose you toss four 6-sided dice. How many...Ch. 7.A - Suppose you toss four 6-sided dice. How many...Ch. 7.A - You are playing 5-card poker with a deck of 52...Ch. 7.A - Prob. 10QQ

Ch. 7.A - Distinguish between an outcome and an event in...Ch. 7.A - 2. What does it mean when we write P(event)? What...Ch. 7.A - Briefly describe the differences among...Ch. 7.A - How is the probability of an event not occurring...Ch. 7.A - Prob. 5E Ch. 7.A - Prob. 6E Ch. 7.A - When I toss four coins, there are four different...Ch. 7.A - The probability that my sister will get into the...Ch. 7.A - I estimate that the probability of my getting...Ch. 7.A - Because either there is life on Mars or there is...Ch. 7.A - The probability that Jonas will win the race is...Ch. 7.A - Based on data showing that we’ve had snow on...Ch. 7.A - Prob. 13E Ch. 7.A - 13-16: Review of the Multiplication Principle. Use...Ch. 7.A - Review of the Multiplication Principle. Use the...Ch. 7.A - Prob. 16E Ch. 7.A - Prob. 17E Ch. 7.A - Double-Header Outcomes and Events. Suppose the New...Ch. 7.A - Prob. 19E Ch. 7.A - Prob. 20E Ch. 7.A - Prob. 21E Ch. 7.A - Prob. 22E Ch. 7.A - Prob. 23E Ch. 7.A - Prob. 24E Ch. 7.A - 19-28: Theoretical Probabilities. Use the...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - 19-28: Theoretical Probabilities. Use the...Ch. 7.A - 19-28: Theoretical Probabilities. Use the...Ch. 7.A - Prob. 29E Ch. 7.A - Prob. 30E Ch. 7.A - Prob. 31E Ch. 7.A - Prob. 32E Ch. 7.A - Which Type of Probability? State which method...Ch. 7.A - 33-34: Which Type of Probability? State which...Ch. 7.A - Prob. 35E Ch. 7.A - Prob. 36E Ch. 7.A - Event Not Occurring. Determine the probability of...Ch. 7.A - Prob. 38E Ch. 7.A - Probability Distributions. Make a probability...Ch. 7.A - 39-42: Probability Distributions. Make a...Ch. 7.A - 39-42: Probability Distributions. Make a...Ch. 7.A - 39-42: Probability Distributions. Make a...Ch. 7.A - Prob. 43E Ch. 7.A - Prob. 44E Ch. 7.A - Prob. 45E Ch. 7.A - Prob. 46E Ch. 7.A - Prob. 47E Ch. 7.A - Prob. 48E Ch. 7.A - Prob. 49E Ch. 7.A - Prob. 50E Ch. 7.A - Prob. 51E Ch. 7.A - Prob. 52E Ch. 7.A - Prob. 53E Ch. 7.A - Prob. 54E Ch. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - Prob. 57E Ch. 7.A - Prob. 58E Ch. 7.A - Prob. 59E Ch. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - Prob. 61E Ch. 7.A - Prob. 62E Ch. 7.A - Prob. 63E Ch. 7.A - Prob. 64E Ch. 7.A - Prob. 65E Ch. 7.A - Prob. 66E Ch. 7.A - Prob. 67E Ch. 7.A - Probability Distributions 68.Suppose you have a...Ch. 7.A - Prob. 69E Ch. 7.A - More Counting. Answer the following counting...Ch. 7.A - Prob. 71E Ch. 7.A - Prob. 72E Ch. 7.A - Prob. 73E Ch. 7.A - Prob. 74E Ch. 7.A - Senior Citizens. In 2010, there were 40 million...Ch. 7.A - Prob. 76E Ch. 7.A - Prob. 77E Ch. 7.A - Prob. 78E Ch. 7.A - Prob. 79E Ch. 7.A - Prob. 80E Ch. 7.A - Prob. 81E Ch. 7.A - Probability in the News. Find a news article or...Ch. 7.A - Prob. 83E Ch. 7.A - Gambling Odds. Find an advertising for a gambling...Ch. 7.B - The probability of rolling two dice and getting a...Ch. 7.B - The rule PAandB=PAPBholdsa. in all cases.b. only...Ch. 7.B - Prob. 3QQ Ch. 7.B - A box of candy contains five dark chocolates and...Ch. 7.B - Prob. 5QQ Ch. 7.B - You roll two dice. Based on the probabilities...Ch. 7.B - You roll two dice twice. Based on the...Ch. 7.B - You toss two coins ten times, and you want to know...Ch. 7.B - Prob. 9QQ Ch. 7.B - Prob. 10QQ Ch. 7.B - How did the gambling habits of the Chevalier de...Ch. 7.B - 2. Give an example in which we would be interested...Ch. 7.B - 3. Give an example in which we would be interested...Ch. 7.B - 4. What is the at least once rule? Explain how the...Ch. 7.B - The probability of getting heads and tails when...Ch. 7.B - If you toss a corn and get heads three times in a...Ch. 7.B - The probability of drawing ace or a spade from a...Ch. 7.B - I can’t believe you chose the lottery number...Ch. 7.B - Prob. 9E Ch. 7.B - To find the probability that at least one of my 25...Ch. 7.B - Chevalier’s Logic with Coins. The Chevalier’s...Ch. 7.B - Prob. 12E Ch. 7.B - Prob. 13E Ch. 7.B - Prob. 14E Ch. 7.B - Prob. 15E Ch. 7.B - Prob. 16E Ch. 7.B - Prob. 17E Ch. 7.B - Prob. 18E Ch. 7.B - Prob. 19E Ch. 7.B - Prob. 20E Ch. 7.B - Prob. 21E Ch. 7.B - Prob. 22E Ch. 7.B - Prob. 23E Ch. 7.B - 2 1-24: Either/Or Probabilities. Determine whether...Ch. 7.B - Prob. 25E Ch. 7.B - 26. Randomly meeting three international students...Ch. 7.B - Prob. 27E Ch. 7.B - Prob. 28E Ch. 7.B - Prob. 29E Ch. 7.B - Prob. 30E Ch. 7.B - At Least Once Problems. 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Answer the following questions...Ch. 7.E - Prob. 25E Ch. 7.E - Prob. 26E Ch. 7.E - Prob. 27E Ch. 7.E - Prob. 28E Ch. 7.E - Prob. 29E Ch. 7.E - Prob. 30E Ch. 7.E - Prob. 31E Ch. 7.E - Prob. 32E Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Prob. 34E Ch. 7.E - Prob. 35E Ch. 7.E - Prob. 36E Ch. 7.E - Prob. 37E Ch. 7.E - Prob. 38E Ch. 7.E - Prob. 39E Ch. 7.E - Prob. 40E Ch. 7.E - Birthday Coincidences. Suppose you are part of a...Ch. 7.E - Birthday Coincidences. Suppose you are part of a...Ch. 7.E - 43. Ice Cream Shop. Josh and Ice Cream Shop Of-...Ch. 7.E - 44. Telephone Numbers. A ten-digit phone number in...Ch. 7.E - 45. Pizza Hype. Luigi; Pizza parlor advertises 56...Ch. 7.E - ZIP Codes. The US. Postal Service five-digit and...Ch. 7.E - 47 —54: Counting and Probability. Find the...Ch. 7.E - Prob. 48E Ch. 7.E - Prob. 49E Ch. 7.E - Prob. 50E Ch. 7.E - Prob. 51E Ch. 7.E - Prob. 52E Ch. 7.E - Prob. 53E Ch. 7.E - Prob. 54E Ch. 7.E - Hot Streaks. Suppose that 2000 people are all...Ch. 7.E - Joe Record. One of longest-standing records in...Ch. 7.E - Prob. 57E Ch. 7.E - Prob. 58E Ch. 7.E - Prob. 59E Ch. 7.E - Prob. 60E Ch. 7.E - Prob. 61E Ch. 7.E - Prob. 62E Ch. 7.E - Prob. 63E Ch. 7.E - Prob. 64E

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