How this calculation works
A probability of one half gives log odds zero. Complementary probabilities give opposite log odds.
THE FORMULA
log odds = ln(p) − ln(1−p)A worked example
A probability of 0.8 gives odds 4 and log odds ln(4).
Good to know
Use a probability strictly between zero and one.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Convert a probability into the logarithm of its success-to-failure odds.
The primary result is labeled “Natural log odds”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Use a probability strictly between zero and one.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
A probability of 0.8 gives odds 4 and log odds ln(4).
Which rule does this calculator apply?
log odds = ln(p) − ln(1−p)