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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!
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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.
The probability, in a single random selection, is 1/20 or 0.05
00382492 Advice: this is just an invented number... :)