Probability of lottery

Dec. 2023

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Probability Calculator
Probability of lottery

The probability of hitting is calculated from the amount of money and the winning probability of the number of sheets of purchase of the lottery and the hit.

When the amount of money and the winning probability(1/***) of the lottery are input, the amount of money per number of sheets of purchase and piece is input, and "Calculate the probability" button is clicked, the winning probability of the lottery is calculated.

The probability that one each Hitoshi or more hits and the amount of money of the expected value per piece of each Hitoshi are displayed by the list when the specified number of sheets is bought, and the expected value when one piece is bought and the expected value of revenue and expenditure when the specified number of sheets is bought are calculated.

When you buy 30 lottery ticket with 10 dollar each.

	The probability that at least one hit	The probability that at least one hit(%)	Expected value of per(Dollars)
1st prize	2.9999956484561E-6	0.00029999956484561	40
1st prize before and after	5.9999826002022E-6	0.00059999826002022	20
1st Prize Mismatch	0.00029995650405834	0.029995650405834	1
2nd prize	9.0089697805107E-6	0.00090089697805107	9.009009009009
3rd prize	0.00029995650405834	0.029995650405834	10
4th place	0.0029956540572605	0.29956540572605	10
5th prize	0.26029962661172	26.029962661172	30
6th prize	0.95760884172478	95.760884172478	30

Expected value of per: 150.00900900901Dollars

Expected value balance = The expected value of the amount of money earned - Purchasing price

= (150.00900900901Dollars × 30Piece) - (10Dollars × 30Piece)

= 4500.2702702703 - 300Dollars

= 4200.2702702703Dollars

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The probability of winning and the expected value are calculated from the number of lottery tickets purchased, the winning amount and the winning probability.

From the number of purchases and the amount of money per piece, we calculate the probability of winning, the expected value per piece, and the expected value of income and expenditure.