# What are the odds of winning Toto?

## TOTO Odds

#### Recall (from the Combinations section) that the number of ways in which r objects can be selected from a set of n objects, where repetition is not allowed, is given by:

Crn=n!r!(n−r)!\displaystyle{{C}_{{r}}^{{n}}}=\frac{{{n}!}}{{{r}!{\left({n}-{r}\right)}!}}

#### The odds of winning the top Group 1 prize are 1\displaystyle{1} in C(49,6). That is:

1C(49,6)=113,983,816\displaystyle\frac{1}{{{C}{\left({49},{6}\right)}}}=\frac{1}{{{13},{983},{816}}}

=7.15×10−8\displaystyle={7.15}\times{10}^{ -{{8}}}

## Author: Gilbert Tan TS

IT expert with more than 20 years experience in Apple, Andriod and Windows PC. Interests include hardware and software, Internet and multimedia. An experienced Real Estate agent, Insurance agent, and a Futures trader.