The numbers 1 through 20 printed on a lottery ticket. A player circles three numbers. At the official lottery drawing, balls with the numbers 1 through 20 are randomized in an urn. Three balls are drawn at random, one at a time without replacement. The player wins if the circled numbers match the three numbers drawn from the urn. What is the probability that the player wins?

Respuesta :

Answer:

The answer is "0.00088"

Step-by-step explanation:

Many ways of selecting r articles of n,[tex]\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}[/tex]

P(wins the player) = [tex]\frac{1}{\text{Any combinations of possible numbers}}[/tex]

[tex]= \frac{1}{^{20} C_3}\\\\[/tex]

[tex]= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088[/tex]

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