The daily number in the State Lottery is a three-digit nuber from 000 to 999. To win in "straight play", a ticket must have the exact number. To win in a "box play" , a ticket can have the three digit of the daily number in any order. Find the probabilty of winning in :

a) Straight play

b) Box play

Respuesta :

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]