Question

If P(E) = 0.05, then the probability of ‘not E’ is .

A) 0.5
B) 1
C) 0.95
D) 0.005

Answer 1

The probability of 'not E' when P(E) = 0.05 is 0.95, which is option C.

Step-by-step explanation:

The correct answer is option C) 0.95. The probability of an event not occurring, often denoted as P('not E'), is found by subtracting the probability of the event itself from 1. This is because the total probability of all outcomes — both occurring and not occurring — must equal 1. Therefore, if P(E) = 0.05, then the probability that event E does not occur is 1 - P(E) = 1 - 0.05 = 0.95.

Given that P(E) = 0.05, the probability of 'not E' can be calculated using the complement rule. The complement rule states that the probability of the complement of an event is equal to 1 minus the probability of the event. Therefore, the probability of 'not E' can be calculated as:

P(not E) = 1 - P(E) = 1 - 0.05 = 0.95.

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