Let's say there are 42 balls and we need to select 5 balls of the winning combinations to win.
The ticket cost €0.4 per 5 ball combination.
And the lottery has a prize structure
If you select all 5 winning balls, you will win € 82,000
for 4 balls, € 110
for 3 balls, € 4.5
So Let's say you buy 5000 tickets
the cost would be € 0.4*5000= € 2000
The probability of all 5 balls selecting the winning one would be 42!/5!*37! = 850668.
So 1 out of 850668.
For 4 balls, 42!/4!*38! = 111930.
So 1 out of 111930.
for 3 balls, 42!/3!*39! = 11480.
So correct me over here... i think i am wrong here
Since we have 5000 tickets.. That means
We have 5000/11480=43.5% chance of getting 3 balls.
so 5000*0.435=2175 tickets of matching 3 balls
Therefore. 2175 x €4.5 = € 9787.5 of winnings?
5000/111930 = 4.45% chance
0.045*5000= 223 tickets matching 4 balls
Therefore, 223 x € 110 = € 24530 of winnings for 4 balls matches?
I am pretty sure i am wrong here and confused. The winnings can't be soo much for just spending € 2000. can someone please explain what am i doing wrong?
The ticket cost €0.4 per 5 ball combination.
And the lottery has a prize structure
If you select all 5 winning balls, you will win € 82,000
for 4 balls, € 110
for 3 balls, € 4.5
So Let's say you buy 5000 tickets
the cost would be € 0.4*5000= € 2000
The probability of all 5 balls selecting the winning one would be 42!/5!*37! = 850668.
So 1 out of 850668.
For 4 balls, 42!/4!*38! = 111930.
So 1 out of 111930.
for 3 balls, 42!/3!*39! = 11480.
So correct me over here... i think i am wrong here
Since we have 5000 tickets.. That means
We have 5000/11480=43.5% chance of getting 3 balls.
so 5000*0.435=2175 tickets of matching 3 balls
Therefore. 2175 x €4.5 = € 9787.5 of winnings?
5000/111930 = 4.45% chance
0.045*5000= 223 tickets matching 4 balls
Therefore, 223 x € 110 = € 24530 of winnings for 4 balls matches?
I am pretty sure i am wrong here and confused. The winnings can't be soo much for just spending € 2000. can someone please explain what am i doing wrong?