Question

5. Florida's lottery game LOTTO is set up so that each player chooses six different numbers from 1 to 53. If the six numbers chosen match the six numbers drawn randomly, the player wins the top cash prize. a) With one lotto ticket what is the probability winning the top prize? b) With 500 different tickets what is the probability winning the top prize ?

          5. Florida's lottery game LOTTO is set up so that each player chooses six different
numbers from 1 to 53. If the six numbers chosen match the six numbers drawn
randomly, the player wins the top cash prize.
a) With one lotto ticket what is the probability winning the top prize?
b) With 500 different tickets what is the probability winning the top prize ?

5. Florida's lottery game LOTTO is set up so that each player chooses six different
numbers from 1 to 53. If the six numbers chosen match the six numbers drawn
randomly, the player wins the top cash prize.
a) With one lotto ticket what is the probability winning the top prize?
b) With 500 different tickets what is the probability winning the top prize ?

Added by John A.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Matthew Elliott

05/26/2022

Step 1

This can be calculated using the combination formula, which is nCr = n! / (r!(n-r)!), where n is the total number of options (53 in this case), r is the number of options chosen at a time (6 in this case), and "!" denotes factorial. So, the total number of Show more…

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Florida's lottery game LOTTO is set up so that each player chooses six different numbers from 1 to 53. If the six numbers chosen match the six numbers drawn randomly, the player wins the top cash prize. With one lotto ticket, what is the probability of winning the top prize? With 500 different tickets, what is the probability of winning the top prize?