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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? Round answer to 4 significant digits in either standard or scientific notation.

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Answer #1

P(winning third prize)=P(matching 4 out of 6 numbers and 2 from remaining 42 numbers) =6C4*42C2/48C6 =0.001052

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