Probability - Pick 6

In order to win the TAB Pick6 (top prize of $250,000), a punter needs to pick 6 winning horses from 6 selected races over the course of one day. Assuming there are 10 horses in race, and each has an equally likely chance of winning:

1) Draw a probability scale and estimate what you think the probability is of picking all 6 winning horses.

2) What is the probability (or odds) of correctly picking one winner? Draw a diagram that shows this.

3) What is the probability (or odds) of correctly picking two successive winners? Draw a diagram that shows this.

4) What is the probability of picking all 6 winners and winning the top prize? Show your working and express the probability as both a decimal, percentage and fraction.

Resources:

Use Radom Letter dice and configure for numbers 1-10 to help test your conclusions experimentally.