Answer:
a. [tex]P = \frac{1}{1000}[/tex]
b. [tex]P = \frac{3}{500}[/tex]
Step-by-step explanation:
To win the 'straight play' a ticket must have the exact number. Given that there are 1000 numbers between 000 and 999. The probability of winning in striaght play is:
[tex]P = \frac{1}{1000}[/tex]
To win in a box play, a ticket can have the three digit in daily order.
Given three numbers A, B and C. There are 6 ways to arrange the numbers:
ABC, ACB, BAC, BCA, CAB, CBA.
Therefore the probability is: [tex]P = \frac{3}{500}[/tex]