If the probability that an event will happen is 0.31, what is the probability of the event's complement?

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Answer 1 · 2018-02-17T15:45:35

#0.69#

the complement is the probability that an event will not happen.

since the total probability is #1#, the probability of an event happening, added to the probability of its complement, is always #1#.

the probability of the complement can be found by subtracting the probability of the event from #1#.

#1.00 - 0.31 = 0.69#

#0.69 + 0.31 = 1#
P(event) + P(complement) #= 1#

the probability of the complement is #0.69#.