gonzalesbrooklyn3 gonzalesbrooklyn3
  • 09-04-2020
  • Mathematics
contestada

In a certain lottery game, 34 numbers are randomly mixed and 7 are selected. A person must pick all 7 numbers to win. Order is not important. What is the probability of winning?

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opudodennis
opudodennis opudodennis
  • 14-04-2020

Answer:

p(win)=0.00094

Step-by-step explanation:

-This is a factorial/combination question.

-The probability is calculated using the formula:

[tex]p=\frac{x!}{_nC_x}\\\\[/tex]

Where:

[tex]x[/tex] is the number of successful picks

[tex]n[/tex] is the total number of picks

Therefore, we calculate the probability as follows;

[tex]Pp=\frac{x!}{_nC_x}\\\\=\frac{7!}{_{34}C_7}\\\\=0.00094[/tex]

Hence, the probability of winning is 0.00094

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