Final answer:
The total probability that an employee chosen at random either drives or cycles to work is 19/25.
Step-by-step explanation:
To find the total probability that an employee chosen at random either drives or cycles to work, we need to add the probabilities of driving and cycling together. The probability of driving is 8/25 and the probability of cycling is 11/25. So, the total probability is:
(8/25) + (11/25) = 19/25
Therefore, the answer is 19/25.