Final answer:
The probability that an event E will not happen is found by subtracting the probability of the event from 1, resulting in a probability of 5/17.
Step-by-step explanation:
The probability that an event E will happen is P(E) = 12/17. To find the probability that the event will not happen, we subtract P(E) from 1, since the sum of the probabilities of all outcomes must equal 1. Therefore, the probability that event E will not occur is 1 - P(E) = 1 - 12/17 = 5/17.
Calculation steps:
- Start with the total probability of all outcomes (P(total) = 1).
- Subtract the given probability of event E occurring (P(E) = 12/17) from the total probability.
- Calculate 1 - 12/17 = 5/17, which is the probability that event E will not occur.