Statement of a problem № m1051


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.

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