Question

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

Answer 1

a.
`P = (1)/(1000)`

b.
`P = (3)/(500)`

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:

`P = (1)/(1000)`

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:
`P = (3)/(500)`