For example, how would I express something that has a 1 in 83 chance of occurring, as a percentage?
What is the basic mathematical/algebraic formula?
Please explain it clearly. My basic math and algebra skills are strong, but I never took statistics.
Thanks.
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Answers & Comments
Verified answer
just divide and multiply by 100 to get a percentage
1/83=.012
1.2%
Percentages: 1/83 of occuring and 82/83 chance of not occuring
Odds for: 1/82 and Odds against: 82/1
1 in 83 chance can be expressed directly as a fraction, 1/83 =0.0120481
0.0120481 * 100 = 1.20481%
Say you wanted to convert to odds:
1 in 83 chance it will = 0.0120481
82 in 83 it will not =.9879518
odds for then = 0.0120481/ .9879518 = 1/82 meaning 1 to 82 it will happen
odds against =1/(odds for) = 82/1 meaning 82 to 1 it will not happen
Another example:
Say you have 3 to 4 odds of winning a bet
3/(3+4) = 3/7 chance of winning or 42.86%
4/(3+4) = 4/7 chance of loosing =100 - 42.86 = 57.14%
don't confuse odds with probability
probability is a fraction of favorable outcomes divided by total outcomes
you have a 1/83 probability of something occuring
1 / 83 = x / 100
83x = 100
x = 100/83
x = 1.2048192771084337349397590361446
1.2% probability
odds are a ratio of favorable outcomes to non favorable outcomes in lowest reduced form
odds
if the probability is 1 / 83
there is 1 favorable outcome
there are 82 that are not
1 : 82
or
1 to 82 odds
"Chance" is not "odds." "Chance" is Probability which is slightly different that Odds, which is a related concept, but not identical.
1 in 83 chance mean Probabilityh = 1/83 which you simply divide on a caculator to get a decimal which hopefully you can change to a percent.
1/83 means 1 ÷ 83 = 0.012048... which you should round to 0.012 = 1.2% (Move point 2 places right and append % symbol.)
1
---- = 0.01204819277..... {divided 1 by 83}
83
â 1.2% {changed to percent by moving decimal right two places}
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