Concept explainers
In a popular lottery known as Lotto 6/49, a player marks a card with six different numbers from the integers 1 – 49 and wins if his or her numbers match six randomly selected such numbers.
In how many ways can a player complete a game card?
How many cards should you complete to have at least one chance in a million of winning?
In how many ways can a player complete a game card so that
No number matches any of the six selected?
Exactly one number matches one of the six selected?
Exactly two numbers match two of the six selected?
Exactly three numbers match three of those selected?
Exactly four numbers match four of those selected?
Exactly five numbers match five of those selected?
All six numbers match?
Without further calculation, what is the sum of the answers to part (c)?
In how many ways can a player complete a game card so that at least one number matches one of the six selected?
In how many ways can a player complete a game card so that at least two numbers match the six numbers selected?
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
- Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the probability of transmitting a 4-bit code word with (a) at most one error, and (b) exactly four errors.arrow_forwardLottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is played in 44 states, Washington D.C., Puerto Rico, and the U.S. Virgin Islands. The game is played by drawing five white balls out of a drum of 69 white balls (numbered 1-69) and one red powerball out of a drum of 26 red balls (numbered 1-26). The jackpot is won by matching all five white balls in any order and the red powerball. (a) Find the possible number of winning Powerball numbers. (b) Find the possible number of winning Powerball numbers when you win the jackpot by matching all five white balls in order and the red powerball.arrow_forward
- Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage