If the probability that an event will occur is a, then the probability that
the event will not occur is 1 − a.
If the probability that one event will occur is a and the independent
probability that another event will occur is b, then the probability that
both events will occur is ab.
Example 10
To get the probability that an event will not occur, subtract the probability
that it will occur from 1. The probability that it will rain today is 60%, so the
probability that it will not rain today is 100% − 60% = 40%. The probability
that it will rain tomorrow is 75%, so the probability that it will not rain
tomorrow is 100% − 75% = 25%.
The probability of rain today is 60 percent, and the independent
probability of rain tomorrow is 75 percent. What is the percent
probability that it will rain neither today nor tomorrow?