SOLUTION: 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

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Question 1186238: 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.

Is my answer below correct?

P(pick 4 of 6 numbers) =(6 choose 4)* (42 choose 2)/(48 choose 6 (all possible choices)) = 6C4*42C2/ 48C6


P =0.00105


Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

Your solution and your numbers are correct.

Did you learn from my lessons at this site ?