Thread: lottery question real odds

could someone please help me with this question ?

a lottery has 45 balls (1 to 45)
6 balls are randomly generated each week

you can choose the amount of numbers you want to play
example
you can pick 1 number and it pays 6 to 1 if your 1 number comes up in one of the 6
numbers

1. question
I decide to bet £1 on 3 numbers 16 17 23 , which pays 600 to 1 ,
what are the real odds of hitting all 3 of my numbers and bagging
600 smackeroons!

2. what is the ev for this game?

tx

Originally Posted by jickjoker

could someone please help me with this question ?

a lottery has 45 balls (1 to 45)
6 balls are randomly generated each week

you can choose the amount of numbers you want to play
example
you can pick 1 number and it pays 6 to 1 if your 1 number comes up in one of the 6
numbers

1. question
I decide to bet £1 on 3 numbers 16 17 23 , which pays 600 to 1 ,
what are the real odds of hitting all 3 of my numbers and bagging
600 smackeroons!

2. what is the ev for this game?

tx

The probability of hitting all 3 numbers is


The expected value is approximately

Since we have 45 unique balls, each time we pick one, the chances of drawing the others increases. So the probability of drawing all three is (3/45) * (2/44) * (1/41). As assuming we pick one of your 3 numbers on the 1st try, we have the other two remaining out of 44.