Question

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?

Answer 1

Answer:

The answer is "0.00088"

Step-by-step explanation:

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

P(wins the player) = $\frac{1}{\text{Any combinations of possible numbers}}$

$= \frac{1}{^{20} C_3}$

$= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088$