QUESTION 1

I have a brother who plays the irish lottery every week , he picks 3 numbers and if he matches

them in the 6 drawn he wins £600 . so the bookies odds are600 to 1to match 3 numbers.

have i calculated thereal oddscorrectly?

total numbers in draw= 47

numbers drawn per draw= 6

my brother picks3 numbers onlyfor a £1

47*46*45 / 1*2*3 = 16215 . total number of 3 number combinations out of 47 numbers

6*5*4 / 1*2*3 = 20 . total number of 3 number combinations from 6 numbers drawn

16215/20 = 810 , so are the real odds are810 to 1 ?

not sure if my workings are correct

QUESTION 2

expected value for this game

bookies odds600 to 1

real odds810 to 1

210 / 810 = -0.25

so on average my brother loses25 penceevery time he plays?