# Question: The game called Lotto sponsored by the Louisiana Lottery Commission

The game called Lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 6 of the 40 possible numbers. Assume there are 40 ping-pong balls each with a single number between 1 and 40. Any number appears only once, and the winning balls are selected without replacement.

a. The commission reports that the probability of matching all the numbers are 1 in

3,838,380. What is this in terms of probability?

b. Use the hypergeometric formula to find this probability.

The lottery commission also pays if a contestant matches four or five of the six winning numbers.

c. Find the probability, again using the hypergeometric formula, for matching 4 of the 6 winning numbers.

d. Find the probability of matching 5 of the 6 winning numbers.

a. The commission reports that the probability of matching all the numbers are 1 in

3,838,380. What is this in terms of probability?

b. Use the hypergeometric formula to find this probability.

The lottery commission also pays if a contestant matches four or five of the six winning numbers.

c. Find the probability, again using the hypergeometric formula, for matching 4 of the 6 winning numbers.

d. Find the probability of matching 5 of the 6 winning numbers.

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