Joker Lottery made [αριθμός κλήρωσης 1965] and the winner of the first division will be more than 1,800,000 euros.

Luck Numbers in the Draw Joker [1965] This week is as follows: 6, 8, 17, 23, 25, Joker: 11

Luck Numbers in the Draw Joker [1964] Thursday is as follows: 11, 15, 18, 29, 45 and the Joker is a number: 2

**The best system to win**

According to OPAP agents, many players choose the variable system. What is the best of them, always based on opportunities?

Code 45: Selected Number 7, Column 5, Cost € 2.50.

Opportunity: 23.8%

Code 35: Selected Number 8, Column 6, Cost 3.00 euros.

Opportunity: 10.7%

Code 34: Selected Number 9, Column 9, Cost € 4.50.

Opportunity: 7.1%

Code 25: Selected Number 9, Column 30, Cost 15.00 Euro.

Opportunity: 23.8%

Code 24: Selected Number 10, Column 14, Cost € 7.00.

Opportunity: 5.55%

Code 23: Selected Number 10, Column 51, Cost € 25.50.

Probability: 20.24%

Code 15: Selected Number 11, Column 22, Cost € 11.00.

Opportunity: 4.76%

Code 14: Selected Number 12, Column 38, Cost 19.00 Euro.

Probability: 4.8%

Code 13: Selected Number 13, Column 54, Cost 27.00 Euros.

Opportunity: 4.2%

Code 12: Selected Number 15, Column 118, Cost € 59.00.

Opportunity: 3.93%

Conclusion: Based on opportunities, the best systems are 45 and 25 with a probability of 23.8%.

But what is the real possibility of becoming the final winner of 15.5 million euros?

Below, mathematicians Haralambos Philippidis and George Papachristou will analyze the possibility of the success of the famous JOKER game from OPAP according to the classic definition of probability (according to Laplace).

According to the definition above, we assume that all columns are equipotent and there are no exogenous factors that can affect the results (eg weight bead).

We can find opportunities to reach only 5, losing the joker as follows: The probability of getting the first number is 5 to 45, which is 11%. The probability of getting the second number is 4 to 44, which is 9% (we put 4 in the numerator because we think we got the first number, so one in five of us has left.

Also, because the lottery did not position the ball in a drawer, we put the denominator 44 because a number had been pulled so that now they played 44 numbers). Opportunities for the third are 3 to 43, which is 7%. For the second to 42, which is 4.7% and for the fifth one to 41, which is 2.4%. To find the probability of getting all five shared numbers (closed odds), we multiply the opportunities above and exit 0.000000818492, which is 0.000081% or 0.81 opportunities at 1,000,000.

And that is without the additional number of comedians. If we want to count the joker from 1 to 20 then the chances of getting 5 + 1 by playing a simple bet are 0.000004090755%, that is, about 4 opportunities in 100,000,000!

So, you have to play 12,222 cards from different combinations to have about 1% chance of winning 5 straight. Because each system-free column costs 50 minutes, it must spend 6,111 €. If you are interested in having about 1% chance of winning 5 + 1, then you have to play 244,351 coupons with different combinations at a cost of € 122,175.5.

Also, if someone wants to have a 100% chance to win 5 (no system) he must spend € 610,880 on 1,221,759 simple cards from different combinations and if he wants to have a 100% chance to win 5 + 1 he must spend 12,217. 590 € in 24,435,180 different coupons.

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