Players of the “Zuper-Zillions” lottery in the country of Urkashizmein pay 1 klu
ID: 3044414 • Letter: P
Question
Players of the “Zuper-Zillions” lottery in the country of Urkashizmein pay 1 klug for a ticket that lets them select 5 non-repeating numbers from 1 to 50 followed by one “Z-bolt” number between 1 and 40. The current “Zuper-Zillions” jackpot is a record 100,000,000 klugs. a. How many possible winning combinations are there? b. What is the probability of correctly guessing all 6 values with just one ticket? (Hint: order does not matter) c. What is the expected outcome (net win or loss) for one play (ticket) in this drawing?
Explanation / Answer
A) Number of possible winning combinations = 50C5 x 40C1
= 2118760x40
= 84750400
b) P(guessing all values in one ticket) = 1/84750400
= 1.18x10-8
c) Expected outcome = 100,000,000x1/84750400 - 1
= 1.18 - 1
= 0.18 klugs