Question

in a states lottery, you can bet $1 by selecting three digits, each between 0 and 9 inclusive. if the same three numbers are drawn in the same order, you win and collect $400. complete parts (a) through (e).
a. how many different selections are possible?
1000
b. what is the probability of winning?
(simplify your answer)

Explanation:

Step1: Recall probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Step2: Identify values

The total number of different selections (total number of outcomes) is 1000 as found in part a. The number of favorable outcomes (winning) is 1.

Step3: Calculate probability

Probability of winning = $\frac{1}{1000}$

Answer:

$\frac{1}{1000}$