In a lottery game, a machine has 48 balls marked with numbers from 1-48 and six of them are taken out at random. A player picks six of these numbers, trying to match the six balls that come out of the machine in any order. If exactly 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? Give answer as a fraction or decimal rounded to 4 significant digits in either standard or scientific notation. Hint: there is more than one way to win, take into consideration all the ways to pick the 4 winning numbers and the 2 losing numbers.

In a lottery game, a machine has 48 balls marked with numbers from 1-48 and six of them are taken out at random. A player picks six of these numbers, trying to match the six balls that come out of the machine in any order. If exactly 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? Give answer as a fraction or decimal rounded to 4 significant digits in either standard or scientific notation. Hint: there is more than one way to win, take into consideration all the ways to pick the 4 winning numbers and the 2 losing numbers.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...

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