Question

If P(E)=0.05, what is the probability of 'not E'?

• A. 0.05
• B. 0.45
• C. 0.95
• D. 0.55

Answer 1

The Correct Option is C

The probability of any event E occurring is represented as P(E). The probability of E not occurring, also known as the probability of 'not E', is represented as P(E'). According to the properties of probability, the sum of the probabilities of an event and its complement is always 1. This can be expressed with the equation:

P(E) + P(E') = 1

Given that P(E) = 0.05, we can substitute this value into the equation to find P(E'):

0.05 + P(E') = 1

To solve for P(E'), subtract 0.05 from both sides:

P(E') = 1 - 0.05

P(E') = 0.95

Thus, the probability of 'not E' is 0.95.