If the probability of a frost tomorrow is 0.05, what is the probability of not having a frost?

2 Answers
Feb 16, 2016

The inverse of a binary probability is "1" minus the probability.
1 - 0.05 = ?

Oct 1, 2016

#1-0.05 = 0.95#

Explanation:

In a scenario like this, there are only two possibilities...
Either there is frost or there isn't.

The sum of the probabilities is 1.

If you know the probability of one outcome, you can fine the probability of the other by subtracting.

#P("no frost")= 1- P("is frost")#

#P("no frost")= 1- 0.05#

#=0.95#

Probabilities can also be given as fractions.

#1- 1/20 = 19/20#