A state lottery game requires that you pick 6 different numbers from 1 to 44. What is the probability of picking exactly 3 of the 6 numbers​ correctly?

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Answer:

Step-by-step explanation:

This would be a sequence of events therefore, in order to calculate this you would simply need to multiply together the probability of each event happening seperately. The probability of getting a correct number is 1/44 while the probability of getting an incorrect number is 43/44. Therefore, since we need to find the probability of getting only 3 out of the six correct we would multiply the following.

[tex]\frac{1}{44} * \frac{1}{44} * \frac{1}{44} * \frac{43}{44} *\frac{43}{44} *\frac{43}{44} =[/tex]  0.000001095 or [tex]\frac{79,507}{7,256,313,856}[/tex]