Responsible gambling - Consumer Affairs Victoria

CONTINUED
A5
Lotto
GAMBLER’S HELP LINE
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Responsible Gambling | Section A: What’s the big deal?
Consumer Affairs Victoria | consumer.vic.gov.au
Exercise 2 – Lucky’s story cont.
c) Can you think of any other things that may occur in families that may encourage gambling?
Exercise 3 – Lotto system entries
Consider the following information on systems entries from Tattersalls
With a System entry, you can play several combinations of number selections without completing a
large number of coupons. The more numbers you play per game panel, the more chances you have
to win prizes in multiple prize divisions!
You can choose between seven and twenty numbers from forty-five in a single game panel instead of
the usual six numbers. Each System corresponds to the amount of numbers you mark.
For example, you would choose seven numbers for a System 7 entry or nine numbers for a System 9
entry. A System entry generates every six number combination of your selection as a separate game,
thereby giving you more chances to win on the one entry.
Here are some sample prices for systems entries for Monday-Wednesday Lotto (which is cheaper
than Saturday Lotto). Calculate the probability for each number of games and complete the table.
The probability of winning one game is 1: 8,145,060. Divide this by the number of games. For
example 8145060/4 games = 2,036, 265.
This means that if a player played just over 2 million games they could expect to win once (but
even this is not guaranteed).
The first two lines shows the minimum 4 game panel and a 7 game system as a point of comparison.
Title Number of games Cost ($) Probability of winning
4 game 4 2.60 1: 2,036,265
7 7 4.60 1: 1,163,580
8 28 18.30
9 84 54.95
10 210 137.35
11 462 302.15
12 924 604.30
13 1716 1,122.25
14 3003 1,963.95
15 5005 3,273.25
Complete the table for the probability of winning System 8 through to System 15.
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