Hypergeometric formula to find the probability

Reference no: EM13102199

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.

(a) The commission reports that the probability of matching all the numbers are 1 in 7,059,052. What is this in terms of probability? (Round your answer to 8 decimal places.)

(b) Use the hypergeometric formula to find this probability. 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. (Round your answer to 8 decimal places.)

(c) Find the probability, again using the hypergeometric formula, for matching 4 of the 6 winning numbers. (Round your answer to 8 decimal places.)

(d) Find the probability of matching 5 of the 6 winning numbers. (Round your answer to 8 decimal places.)

Reference no: EM13102199

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