Question

Suppose that X is an event, and that P(X) = 0.43. What is P(X) (i.e. the probability that X will not occur)?

Answer 1

Solution: 0.57

Analysis:

In this exercise, we have two complementary events: Probability X occurs and probability X doesn't occur. In this case, the sum of both probabilities is equal to 1.

$\begin{gathered} P(X))+P(\bar{X})=1 \\ 0.43+P(\bar{X})=1 \\ P(\bar{X})=1-0.43 \\ \\ P(\bar{X})=0.57 \end{gathered}$