Final answer:
The probability of this couple having a child with haemophilia is 1/10,000.
Step-by-step explanation:
The probability of this couple having a child with haemophilia can be determined by looking at the inheritance pattern of the disorder. Hemophilia, including the most common form hemophilia A, is an X-linked disorder that is typically passed from a carrier mother to her male offspring. Females would need to inherit a defective gene from both parents to manifest the disease, while males only need to inherit one defective gene from their carrier mother. Since the frequency of haemophilia is approximately 1 in 10,000, the probability of this couple having a child with haemophilia would be 1/10,000.