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One out of a thousand


^^^This is not quite true. If you must match them in order, then this is correct. However, if order does not matter (i.e. 4-5-6 is the same as 6-4-5), then the probability increases.

The reason is that the probability is no longer 1/10*1/10*1/10, since this would assume that all three are unrelated. If order doesn't matter, then 4-5-6 = 6-4-5 = 5-4-6 = ... and so on, and all of these win. Thus, the answer is (all the different ways you can write the 3 digit number)/1000.
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Q: Probability of picking a winning 3 digit lottery number?
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What is the probability of winning the lottery on 1 ticket by picking 5 numbers out of numbers 1-50?

The number of combinations of 50 things taken 5 at a time is (50! - 45!) / 5! or 2,118,760, so the probability of winning the lottery on 1 ticket by picking 5 numbers out of 50 numbers is 1 in 2,118,760, or 0.00000047197. More formally, the number of combinations of N things taken P at a time is (N! - (N-P)!) / P!


Is the probability of picking a prime number between 1-49 greater than picking a number that is not prime?

no.


How do they find out the probability of winning the national lottery?

Calculate the number of possible combinations. The probability of winning is the reciprocal of that number.To calculate the number of combinations, suppose you have to choose r number out of n. Then the number of combinations is n!/[r!*(n-r)!] where n! = 1*2*3*...*n.Thus, for the UK national lottery (Lotto) n = 49, r = 6 so the relevant number is49*48*47*46*45*44/(6*5*4*3*2*1) = 13,983,816 or approx 14 million. Each combination is equally likely so the probability of winning is 1/14 million, approx.Calculate the number of possible combinations. The probability of winning is the reciprocal of that number.To calculate the number of combinations, suppose you have to choose r number out of n. Then the number of combinations is n!/[r!*(n-r)!] where n! = 1*2*3*...*n.Thus, for the UK national lottery (Lotto) n = 49, r = 6 so the relevant number is49*48*47*46*45*44/(6*5*4*3*2*1) = 13,983,816 or approx 14 million. Each combination is equally likely so the probability of winning is 1/14 million, approx.Calculate the number of possible combinations. The probability of winning is the reciprocal of that number.To calculate the number of combinations, suppose you have to choose r number out of n. Then the number of combinations is n!/[r!*(n-r)!] where n! = 1*2*3*...*n.Thus, for the UK national lottery (Lotto) n = 49, r = 6 so the relevant number is49*48*47*46*45*44/(6*5*4*3*2*1) = 13,983,816 or approx 14 million. Each combination is equally likely so the probability of winning is 1/14 million, approx.Calculate the number of possible combinations. The probability of winning is the reciprocal of that number.To calculate the number of combinations, suppose you have to choose r number out of n. Then the number of combinations is n!/[r!*(n-r)!] where n! = 1*2*3*...*n.Thus, for the UK national lottery (Lotto) n = 49, r = 6 so the relevant number is49*48*47*46*45*44/(6*5*4*3*2*1) = 13,983,816 or approx 14 million. Each combination is equally likely so the probability of winning is 1/14 million, approx.


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