GMAT Practice Question: If the probability that event E will occur is k, then the probability that event E...
Question
If the probability that event E will occur is k, then the probability that event E will not occur is
- 1-k
- k-1
- 1-k^{2}
- k^{2}-1
- \frac{k}{2}
Topics: probability
Solution
Step 1
We apply \textbf{Inverse Probability Rule} to relate the probability of an event and the probability of its complement
P(\text{not }E) = 1 - P(E)
Step 2
We substitute k for P(E) to find the probability that event E will not occur
P(\text{not }E) = 1 - k
Answer
A
