SOLUTION: Which lottery presents the player with the best odds for
winning, (A or B)? Defend your answer.
A = C(39,5)
B = C(40,4)
Algebra ->
Permutations
-> SOLUTION: Which lottery presents the player with the best odds for
winning, (A or B)? Defend your answer.
A = C(39,5)
B = C(40,4)
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You can put this solution on YOUR website! The number of winning combinations for lottery A = 39!/(5!*34!)
The number of winning combinations for lottery B = 40!/(4!*36!)
Taking the ratio B/A gives:
B/A = 40!/(4!*36!)*(5!*34!)/39!
Cancelling terms and simplifying gives:
B/A = 10/63
Therefore, there are 6.3 times more winning combinations for lottery A, so it presents the best odds.
