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| Teaching Since: | May 2017 |
| Last Sign in: | 340 Weeks Ago |
| Questions Answered: | 19234 |
| Tutorials Posted: | 19224 |
MBA (IT), PHD
Kaplan University
Apr-2009 - Mar-2014
Professor
University of Santo Tomas
Aug-2006 - Present
The game called Lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 6 of the 44 possible numbers. Assume there are 44 ping-pong balls each with a single number between 1 and 44. Any number appears only once, and the winning balls are selected without replacement.
Use the hypergeometric formula to find the probability of matching all 6 winning numbers. The lottery commission also pays if a contestant matches 4 or 5 of the 6 winning numbers. Hint: Divide the 44 numbers into two groups, winning numbers and nonwinning numbers.
Find the probability, again using the hypergeometric formula, for matching 4 of the 6 winning numbers
Find the probability of matching 5 of the 6 winning numbers.
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