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pivoxa15
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Homework Statement
To win Division 1 in the game of Tattslotto, the player must have the same 6 numbers (in any order) as those that are randomly drawn from the numbers 1 to 45. A Division 2 prize requires that the player’s ticket must have 5 of the 6 winning numbers and a Division 3 prize requires that the player has 4 of the 6 numbers drawn. Calculate the probability that the player’s 6 numbers will contain at least a Division 3 prize.
Homework Equations
Pr(event) = Favourable possibilities/total possibilities
C means ‘choose’ i.e. nCr=n!/(r!(n-r)!)
The Attempt at a Solution
Assume player has chosen their 6 numbers and the officials have drawn the 6 numbers.
Favourable possibilities = {6C6=1, 6C5=6, 6C4=15}
Total possibilities = 45C6
Pr(event) = (1+6+15)/45C6 = 22/8145060
But the answers suggested 1135/8145060