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?
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Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
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