In a certain lottery, an urn contains balls numbered 1 to 25. From this urn, 4 balls are chosen randomly, without replacement. For a $1 bet, a player chooses one set of four numbers. To win, all four numbers must match those chosen from the urn. The order in which the balls are selected does not matter. What is the probability of winning this lottery with one ticket? The probability of winning is (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed.).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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In a certain lottery, an urn contains balls numbered 1 to 25. From this urn, 4 balls are chosen randomly, without replacement. For a $1 bet, a player chooses one set of four numbers.
To win, all four numbers must match those chosen from the urn. The order in which the balls are selected does not matter. What is the probability of winning this lottery with one ticket?
The probability of winning is
(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed.)
Transcribed Image Text:In a certain lottery, an urn contains balls numbered 1 to 25. From this urn, 4 balls are chosen randomly, without replacement. For a $1 bet, a player chooses one set of four numbers. To win, all four numbers must match those chosen from the urn. The order in which the balls are selected does not matter. What is the probability of winning this lottery with one ticket? The probability of winning is (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed.)
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